id
stringlengths
7
11
seq
listlengths
1
347
keywords
listlengths
1
8
A282456_aug
[ 3, 7, 11, 19, 39, 51, 87, 223, 1231, 1331, 1555, 3283, 6375, 9731, 9755, 13491, 25083, 29751, 33075, 48543, 66355, 165591, 184507, 191643, 324367 ]
null
A003656_aug
[ 1, 2, 1, 4, 3, 1, 2, 3, 4, 2, 3, 2, 1, 4, 3, 4, 4, 3, 2, 1, 4, 2, 2, 1, 2, 3 ]
null
A222631
[ 4, 10, 34, 161, 707, 3309, 16892, 89384, 465258, 2414240, 12658133, 66882546, 353898321, 1874207359, 9950624881, 52968141606, 282452336722, 1508213363988, 8064519904852, 43179574656064, 231467793567740, 1242085617391923 ]
[ "nonn" ]
A019163_aug
[ 0, 0, 7, 5, 28, 7, 113, 67, 690, 281, 3359, 1450, 20542, 8590, 127719, 49507, 836251, 328222, 5752972, 2183226, 40005561, 15123063, 282743044, 106343713, 2008752748, 752928537, 14330737673, 5363109922, 38333393789 ]
null
A125347_aug
[ -9, -69, -429, -2989, -21209, -152751, -1107367, -8054661, -58680897, -427841509, -3120550893, -22764484279, -166081792327, -1211725839659, -8840879076059, -64504607657221, -470639150157005, -3433889688841785, -25054462942728212 ]
null
A214205_aug
[ 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1 ]
null
A164573_aug
[ 7, 6, 5, 1, 7, 0, 4, 4, 1, 7, 4, 4, 4, 1, 1, 1, 4, 4, 4, 1, 4, 7 ]
null
A025398_aug
[ 5104, 12221, 14175, 19034, 21888, 29457, 32850, 36288, 39376, 40097, 41033, 41966 ]
null
A271494_aug
[ 1, 112, 7936, 520192, 33488896, 2146435072, 137422176256, 8795824586752, 562945658454016, 36028728299487230, 2305841909702066200 ]
null
A324609_aug
[ 1, 0, 2, 61, 16, 1385, 440, 0, 24568, 12448, 0, 1326122, 727232, 353792, 199360981, 71350336, 44720896, 22368256, 19391512145, 7020926600, 4600173440, 2900372480, 0, 1192744081648, 708137588128, 495154244608, 318605529088, 0 ]
null
A009498_aug
[ -1108, -77058, -5509840, -430006726, -33282260524, -1454472663306, 448480622503640, 254015086363619970 ]
null
A230516_aug
[ 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, -1, 0, 0, 0, 1, -1, 0, 1, 2, 0, -1, -2, 0, 2, 0, 0, -1, 0, 1, 3, 1, -1, 1, 0, 1, -1, 0, -1, -1, 0, 1, 1, -2, 1, 2, 1, 0, 1, 2, 0, 1, -2, -2, -1, 4, 4, -1, -3, -1, 4, 4, 2, -1, -2, -2, 1, 4, -2, -5, -2, 2, 3, 4, 4, 1, 0, 0, 3, 0, -4, -3, 0, -1, -2, 3, 2, 0, 0, 0, 0, 1 ]
null
A020862_aug
[ 3, -3, 2, -1, 9, -2, 8, 0, 9, -4, 8, -8, 7, -3, 6, -2, 3, -4, 7, -8, 7, 0, 3, -1, 9, -4, 2, -9, 4, -8, 9, -3, 9, 0, 1, -7, 5, -8, 6, -4, 8, -3, 1, -3, 9, -3, 0, -2, 4, -5, 8, 0, 6, -1, 2, 0, 5, -4, 7, -5, 6, -3, 9, -5, 8, -1, 5, -9, 3, -4, 7, -7, 6, -6, 0, -8, 6, -2, 5, -2, 1, -5, 8, -5, 0, -1, 3, -9, 7, -4, 3, -3, 5, -9, 3, -7, 0, -1, 5 ]
null
A278039_aug
[ 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2 ]
null
A201042
[ 3, 5, 7, 7, 19, 17, 9, 37, 75, 41, 11, 61, 203, 295, 99, 13, 91, 429, 1111, 1161, 239, 15, 127, 781, 3011, 6083, 4569, 577, 17, 169, 1287, 6691, 21141, 33305, 17981, 1393, 19, 217, 1975, 13021, 57343, 148433, 182349, 70763, 3363, 21, 271, 2873, 23045, 131781 ]
[ "nonn", "tabl" ]
A165073_aug
[ 0, -1, -1, -1, -1, -1, -1, -2, -1, -2, -3, -4, -2, -4, -3, -2, -1, -2, -3, -4, -2, -4, -3, -2, -1, -2, -3, -4, -2, -4, -3, -2, -1, -2, -3, -4, -2, -4, -3, -2, -1, -2, -3, -4, -2, -4, -3, -2, -1, -2, -2, -3, -1, -1, -2, -3, -2, -1, -2, -3, -1, -1, -2, -3, -2, -2, -3, -1, -1, -2, -1, -3, -3, -3, -1, -1, -2, -1, -1, -1, -1, -1, -1, -2, -2, -1, -1, -1, -1, -1, -2, -3, -2, -2, -2, -2, -2, -2, -3, -3, -3, -1, -1, -2, -3 ]
null
A372302_aug
[ 74, -82, 95, -108, 116, -129, 142, -150, 163, -171, 184, -197, 205, -218, 226, -239, 252, -260, 273, -286, 294, -307, 315, -328, 341, -349, 362, -375, 383, -396, 404, -417, 430, -438, 451, -459, 472, -485, 493, -506, 519, -527, 540, -548, 561, -574, 582, -595, 603 ]
null
A014437_aug
[ -3, -3, -9, -15, -39, -63, -165, -267, -699, -1131, -2961, -4791, -12543, -20295, -53133, -85971, -225075, -364179, -953433, -1542687, -4038807, -6534927, -17108661, -27682395, -72473451, -117264507, -307002465, -496740423, -1300483311, -2104226199, -5508935709, -8913645219, -23336226147, -37758807075 ]
null
A195476_aug
[ -1, 2, -7, 2, -2, 2, -4, 6, -5, 6, 0, 9, 0, 3, -5, 2, -3, 3, -6, 6, 0, 8, -1, 4, -1, 9, -8, 1, -3, 6, -9, 2, -1, 8, -6, 0, -9, 5, -4, 9, -2, 0, -7, 5, -8, 8, -9, 4, -2, 5, -6, 3, -3, 0, -6, 9, -5, 6, -9, 4, -3, 5, -5, 8, -7, 1, -3, 6, -7, 4, -5, 3, -7, 4, -5, 2, -9, 4, -1, 8, -2, 3, -6, 0, -9, 7, -8, 6, -3, 3, -3, 5, 0, 1, -1, 8, -1, 8, -3, 5 ]
null
A071430_aug
[ 1, 1, 1, 2, 4, 6, 7, 11, 11, 12, 16, 18, 19, 23, 23, 24, 28, 30, 31, 35, 37, 38, 38, 40, 41, 45, 47, 48, 52, 57, 58, 62, 64, 65, 69, 71, 72, 76, 78, 81, 85, 87, 90, 94, 96, 99, 103, 105, 108, 112, 114, 117, 121, 123, 124, 128, 130, 133, 136, 138, 143, 147, 149, 154, 158, 160, 163, 164, 166, 171, 175, 177, 180, 184, 186, 191, 195, 197, 200, 203, 205, 210, 214, 216, 221, 224, 226, 231, 234, 236, 237, 241, 243, 248, 251, 253, 258, 262, 264, 269, 272, 274 ]
null
A377691_aug
[ 0, 1, 9, 6, 1530, 312, 468720, 47952, 238738752, 15273696, 185234979600, 8404102080, 204957002147040, 7145001364608, 307822476591957600, 8705298805015680, 604208707715034800000, 14400927608439260000, 1.504405685073557e+24, 3.106576917598508e+22 ]
null
A011991_aug
[ 5, 0, 0, 0, 0, 0, 5, 0, 10, 0, 0, 0, 20, 0, 35, 0, 0, 0, 60, 0, 40, 0, 0, 0, 400, 0, 420, 0, 0, 0, 4100, 0, 3990, 0, 0, 0, 47540, 0, 58080, 0, 0, 0, 786700, 0, 699140, 0, 0, 0, 15137280, 0, 11766550 ]
null
A055816_aug
[ 4, 12, 12, 0, 8, 0, 0, 4, 12, 8, 0, 4, 0, 0, 16, 8, 16, 0, 12, 0 ]
null
A264280_aug
[ 8, 32, 132, 556, 2324, 9724, 40692, 170268, 712468, 2981244, 12474676, 52198876, 218420308, 913955132, 3824342132, 16002528156, 66960773524, 280189801724, 1172422611892, 4905870136668, 20528060064468, 85897351187644 ]
null
A209590_aug
[ 6, -1290, 511926, -7315895370, 191214305192886, -179919467181150540000, 3.1035691274089245e+26, -1.9272906995323362e+34, 2.19418994919362e+42 ]
null
A256405_aug
[ 6, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 5, 0, 2, 4, 6, 1, 3, 5, 0, 2, 4, 6, 1, 3, 5, 0 ]
null
A057814_aug
[ 1, 1, 1, 1, 1, 2, 3, 4, 5, 0, 1, 2, 3, 1, 3, 5, 5, 0, 5, 2, 1, 4, 3, 2, 3, 5, 5, 1 ]
null
A161261_aug
[ -9, -9, -9, -9, -9, -9, -9, -10, -10, -10, -10, -10, -10, -10, -10, -11, -10, -11, -10, -11, -10, -11, -10, -12, -11, -13, -12, -14, -13, -15, -14, -17, -15, -17, -16, -19, -17, -19, -18, -22, -20, -22, -21, -25, -23, -25, -24, -29, -26, -29, -27, -33, -29, -33, -30, -39, -33, -39, -35, -45, -39, -47, -43, -55, -48, -58, -52, -66, -58, -71, -64, -81, -71, -86, -77, -96, -86, -103, -94, -115, -104, -123, -113, -137, -125, -147 ]
null
A276338_aug
[ 0, -4, 8, -12, 18, -18, 18, -18, 36, -36, 36, -36, 54, -54, 54, -54, 72, -72, 96, -96, 96, -96, 96, -96, 96, -96, 96, -96, 96, -96, 96, -96, 96, -96, 96, -96, 192, -192, 192, -192, 192, -192, 192, -192, 192, -192, 192, -192, 192, -192, 192, -192, 192, -192, 288, -288, 288, -288, 288, -288, 288, -288, 288, -288, 288, -288, 288, -288, 288, -288, 288, -288, 384 ]
null
A161692_aug
[ 92, 2160, 34498, 421496, 4200674, 35558414, 262873258, 1731965322, 10328049216, 56421102248, 285128804100, 1343669926478, 5944266239566, 24826480105684, 98366720679890, 371294867671816, 1340039862464364 ]
null
A381453_aug
[ 11, 11, 12, 13, 11, 14, 12, 14, 13, 13, 12, 12, 12, 16, 13, 14, 14, 16, 14, 14, 11, 16, 16, 12, 14, 14, 12, 14, 14 ]
null
A294589_aug
[ 1, 1, 1, 1, 5, 1, 9, 14, 1, 36, 25, 1, 98, 103, 1, 65, 498, 289, 1, 129, 1844, 1774, 198, 1, 2316, 12745, 5925, 354, 1, 6818, 69283, 56974, 4206, 1 ]
null
A338782_aug
[ -1, -2, -3, -4, -5, -6, -7, -8, -9, -10, -11, -12, -13, -14, -3, -16, -17, -18, -19, -20, -21, -22, -23, -24, -25, -26, -27, -28, -29, -30, -31, -32, -33, -34, -35, -36, -37, -38, -39, -40, -41, -42, -43, -44, -45, -46, -11, -48, -49, -50, -51, -52, -53, -54, -55, -56, -57, -58, -59, -60, -61, -62, -63, -64, -65, -66, -67 ]
null
A342156_aug
[ 4, 2, 4, 2, 4, 2, 2, 6, 4, 0, 4, 2, 6, 6, 0, 2, 2, 4, 4, 0, 2, 6, 2, 4, 2, 4, 2, 4, 6, 4, 4, 2, 0, 2, 4, 0, 6, 6, 4, 2, 4, 2, 0, 2, 4, 0, 4, 2, 2, 6, 6, 4, 6, 6, 0, 2, 2, 4, 2, 4, 2, 4, 2, 4, 4, 0, 4, 2, 2, 6, 0, 0, 6, 4, 4, 2, 4, 2, 4, 2, 0, 2, 6, 4, 4, 2, 4, 2, 2, 6, 2, 4, 6, 4, 2, 6, 0, 0, 6, 4, 2, 6, 4, 0, 6, 6 ]
null
A148944_aug
[ 10, 10, 12, 18, 38, 112, 402, 1532, 5994, 24626, 102366, 430372, 1838770, 7931052, 34615162, 152208668, 673421646, 3003153460, 13464915846, 60712552150, 275067241844, 1251061910000, 5715825705408, 26206169918486, 120562798767598, 556428210284782, 2574906598392654, 11950271335525384, 55598176180817710 ]
null
A176259_aug
[ 1, 1, 1, 1, 1, -1, 1, -3, 1, -7, -11, -11, -23, 1, 1, -19, -39, -39, -53, 1, -53, -73 ]
null
A378430_aug
[ 180, 252, 300, 360, 396, 450, 468, 504, 540, 588, 600, 612, 684, 700, 720, 756, 792, 828, 882, 900, 936, 980, 1008, 1044, 1080, 1100, 1116, 1176, 1188, 1200, 1224, 1260, 1300, 1332, 1350, 1368, 1400, 1404, 1440, 1452, 1476, 1500, 1512, 1548, 1575, 1584, 1620, 1656 ]
null
A384631_aug
[ -1, -4, -17, -153, -1623, -21926, -344998, -6230232, -126571091, -2856031804, -70822693101, -1913609207886, -55938458263035, -1758452185453926 ]
null
A374812_aug
[ 2, 0, 4, 0, 0, 0, 0, 2, 0, 4, 0, 0, 2, 0, 0, 2, 0, 0, 0, 4, 2, 0 ]
null
A329032_aug
[ 0, 0, 0, 0, 1, 1, 10, 10, 75, 75, 0, 0, 0, 0, 1, 1, 10, 10, 75, 75, 1, 1, 1, 1, 12, 12, 95, 95, 650, 650, 14, 14 ]
null
A042607_aug
[ 5, -5, 30, -65, 160, -225, 3085, -3310, 9705, -22720, 123305, -146025, 8300705, -8446730, 50534355, -109515440, 269565235, -379080675, 5197614010, -5576694685, 16351003380, -38278701445, 207744510605, -246023212050, 13985044385405, -14231067597455, 85140382372680, -184511832342815 ]
null
A348599_aug
[ 6, 24, 36, 48, 24, 72, 48, 36, 48, 18, 72, 36, 36, 54, 162, 162, 72, 192, 108, 48, 6, 162, 96, 144, 96, 162 ]
null
A128800_aug
[ 0, 0, 72, -1368, 16920, -172440, 1572120, -13329432, 107387928, -832982040, 6274937880, -46182614040, 333517882392, -2370986148888, 16633264014360, -115372110775320, 792438488564760, -5396489857532952, 36473836598068250, -244874867681657900, 1634215074905588700, -10847734343864290000 ]
null
A211111_aug
[ 1, 3, 6, 10, 16, 23, 32, 42, 55, 69, 86, 104, 128, 153, 180, 208, 242, 277, 315, 354, 412, 471, 533, 596, 675, 755, 837, 920, 1017 ]
null
A340458_aug
[ 10, 12, 16, 16, 18, 18, 20, 18, 22, 24, 20, 24, 26, 26, 24, 26, 28, 30, 26, 28, 30, 32, 26, 30, 32, 32, 34, 28, 32, 34, 34, 36, 36, 32, 34, 36, 38, 40, 40, 34, 36, 38, 40, 42, 42 ]
null
A048895_aug
[ 1059, 2150, 3751, 5652, 15713, 25804, 41805, 60806, 167667, 277558, 446159, 645060, 1751941, 2861822, 4467903, 6273964, 8083055, 9969066, 11858077, 13767158, 24574039, 35383920, 46445731, 57537542, 69147223, 80845914, 92661925, 104480936, 116387917 ]
null
A011705_aug
[ 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1 ]
null
A117296_aug
[ 30, -76, 143, -212, 301, -393, 508, -642, 780, -958, 1142, -1365, 1595, -1828, 2091, -2367, 2650, -2939, 3232, -3527, 3828, -4149, 4530, -4917, 5328, -5756, 6197, -6643, 7109, -7581, 8089, -8615, 9150 ]
null
A203870_aug
[ 1, 0, 0, 1, 3, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 3, 2, 2, 3, 2, 1, 1, 2, 0, 2 ]
null
A374707_aug
[ 271, 326, 386, 446, 516, 591, 671, 751, 841, 936, 1036, 1141, 1251, 1366, 1486, 1606, 1736, 1871, 2006, 2151, 2301, 2456, 2616, 2776, 2946, 3111, 3291, 3471, 3661, 3856, 4051 ]
null
A133272_aug
[ 1, 7, 78, 924, 11005, 131131, 1562562, 18619608, 221872729, 2643853135, 31504364886, 375408525492, 4473397941013, 53305366766659, 635191003258890, 7568986672340016, 90192649064821300, 1074742802105515500 ]
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A372953_aug
[ 2, 5, 9, 16, 25, 32, 41, 53, 64, 81, 97, 109, 121, 128, 149, 169, 181, 197, 233, 256, 269, 281, 293, 317, 349, 361, 389, 401, 421, 449, 461 ]
null
A178164_aug
[ 23, 23, -1, 23, 23, -1, 23, 23, 23, 17, 23, 20, 23, 23, 23, 5, 17, 23, 23, -1, -1, 23, 23, 5, 2, 23, 23, 2, 23, 23, 23, -1, 23, 23, 23, -1, 11, 23, 23, -1, -1, 23, 23, 23, 23, 23, 23, -1, 8, 23, 23, -1, 14, 23, 23, -1, 17, 23, 23, -1, -1, 23, 23, -1, 5, 23, 23, -1, 11, 23, 23, -1, 23, 23, 23, -1, -1, 23, 23, 14, 23, 23, 23, -1, 23, 23, 23, 8, 8, 23, 23, -1, 20, 23, 23, -1, -1, 23, 23, -1, 2, 23, 23, 2, 23 ]
null
A144506_aug
[ 0, 0, 0, 0, 1, -15, 190, -2520, 36820, -598206, 10777515, -214018365, 4653211200, -110066542300, 2815988090916, -77519325520000, 2285424274203525, -71860962778305710, 2400883268314597000, -84947238355304500000, 3.1733652201818334e+21, -1.2482479780176135e+23, 5.1572490567046e+24 ]
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A051739_aug
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null
A313388_aug
[ 1, 5, 10, 13, 17, 21, 28, 35, 40, 45, 46, 48, 54, 60, 67, 73, 76, 79, 81, 87, 95, 100, 106, 108, 109, 112, 120, 130, 135, 141, 141, 140, 143, 150, 162, 168, 174, 176, 173, 176, 185, 195, 201, 206, 206, 204, 207, 218, 230, 236 ]
null
A000554_aug
[ 12, 630, 11430, 159588, 1965840, 22412970, 242220594, 2516581800, 25367149836, 249644973150 ]
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A066257_aug
[ 3, 2, 4, 3, 11, 16, 2, 29, 7, 5, 8, 67, 39, 92, 106, 11, 137, 34, 23, 191, 211, 8, 5, 277, 21, 3, 352, 165, 11, 10, 68, 37, 529, 83, 15, 31, 23, 704, 19, 315, 821, 67, 137, 63, 61, 28, 26, 7, 43, 1226, 931, 513, 87, 1432, 6, 23, 1597, 15, 1712, 1771, 13, 1892, 16, 11, 125 ]
null
A335943_aug
[ 1, 1, 2, 3, 0, 3, 1, 0, 1, 2, 1, 3, 1, 0, 3, 2, 3, 0, 1, 3, 1, 0, 3, 3, 2, 3, 3, 0, 1, 1, 2, 1, 3, 1, 1, 2, 3, 2, 1, 3, 0, 3, 1, 0, 1, 2, 1, 2, 3, 2, 1, 3, 3, 3, 1, 0, 3, 0, 1, 1, 3, 1, 0, 1, 1, 2, 1, 3, 0, 3, 1, 0 ]
null
A181371_aug
[ 2, 5, -7, 20, -15, 49, -30, -24, 143, -54, -81, 368, -77, -249, -50, 986, -33, -720, -222, 2572, 355, -1988, -865, -85, 6764, 2085, -5277, -3093, -465, 17696, 8484, -13488, -10402, -2175, -129, 46367, 30132, -33102, -33390, -9153, -837, 121375, 99623, -77334, -103256, -35686, -4557, -182, 317810 ]
null
A309983_aug
[ 4, 4, 6, 6, 8, 8, 10, 10, -5, -5, -3, -3, -1, -1, 1, 1, 1, 1, 3, 3, 5, 5, 7, 7, 3, 3, 5, 5, 7, 7, 9, 9, 9, 9, 11, 11, 13, 13, 15, 15, -9, -9, -7, -7 ]
null
A129772_aug
[ 1, 3, 9, 25, 73, 213, 633, 1881, 5625, 16825, 50425, 151129, 453241, 1359297, 4077465, 12231129, 36692121, 110072601, 330214041, 990630873, 2971881369, 8915610457, 26746797721, 80240292313, 240720776089, 722162026009, 2166485775769 ]
null
A343697_aug
[ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ]
null
A051426_aug
[ 2, 4, 12, 24, 120, 120, 840, 1680, 5040, 5040, 55440, 55440, 720720, 720720, 720720, 1441440, 24504480, 24504480, 465585120, 465585120, 465585120, 465585120, 10708457760, 10708457760, 53542288800, 53542288800, 160626866400, 160626866400, 4658179125600 ]
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