A036727
G.f. satisfies A(x) = 1 + x*cycle_index(G,A(x)) where G = cyclic group of order 5 generated by (1,2,3,4,5).
Original entry on oeis.org
1, 1, 1, 3, 9, 30, 107, 392, 1489, 5783, 22874, 91822, 373111, 1531744, 6343528, 26469872, 111180537, 469696489, 1994490659, 8508116485, 36443396006, 156680537096, 675885192670, 2924577632532, 12690327612739, 55208106904873
Offset: 0
A036728
G.f. satisfies A(x) = 1 + x*cycle_index(G,A(x)) where G = cyclic group of order 7 generated by (1,2,...,7).
Original entry on oeis.org
1, 1, 1, 4, 15, 62, 274, 1260, 5973, 28975, 143176, 718070, 3645876, 18703560, 96799076, 504797258, 2649947859, 13992164283, 74262871273, 395964705460, 2119994732940, 11392843953996, 61432524907686, 332279234332898, 1802324611950162
Offset: 0
A036729
G.f. satisfies A(x) = 1 + x*cycle_index(G,A(x)) where G = cyclic group of order 11 generated by (1,2,...,11).
Original entry on oeis.org
1, 1, 1, 6, 31, 171, 1018, 6320, 40407, 264494, 1763721, 11938126, 81811270, 566505623, 3957683000, 27860809916, 197440008065, 1407393565655, 10084285158674, 72590696159500, 524707835158671, 3806969433487560, 27715036541611090
Offset: 0
A036730
G.f. satisfies A(x) = 1 + x*cycle_index(G,A(x)) where G = cyclic group of order 13 generated by (1,2,...,13).
Original entry on oeis.org
1, 1, 1, 7, 41, 252, 1675, 11634, 83181, 608818, 4539896, 34364253, 263355143, 2039370396, 15933107322, 125436559380, 994121046225, 7924935634275, 63504334502998, 511233121598277, 4132727837100768, 33533674854227400
Offset: 0
A036731
G.f. satisfies A(x) = 1 + x*cycle_index(G,A(x)) where G = cyclic group of order 17 generated by (1,2,...,17).
Original entry on oeis.org
1, 1, 1, 9, 65, 477, 3785, 31533, 270337, 2371263, 21193149, 192284739, 1766310505, 16394986515, 153535816653, 1448874875343, 13764044479777, 131523942026598, 1263329497333535, 12190965137205164, 118130808506571613, 1148989417789699082
Offset: 0
A036732
G.f. satisfies A(x) = 1 + x*cycle_index(G,A(x)) where G = cyclic group of order 19 generated by (1,2,...,19).
Original entry on oeis.org
1, 1, 1, 10, 79, 625, 5338, 47980, 443863, 4199725, 40488645, 396277790, 3926803372, 39318663510, 397204242668, 4043453280880, 41436730885983, 427132429010270, 4425813361407403, 46071637231461810, 481590765650318937, 5053016372165798032
Offset: 0
A036733
G.f. satisfies A(x) = 1 + x*cycle_index(G,A(x)) where G = cyclic group of order 23 generated by (1,2,...,23).
Original entry on oeis.org
1, 1, 1, 12, 111, 1002, 9714, 99540, 1050699, 11335347, 124588322, 1390328886, 15708587942, 179337437284, 2065664506352, 23975801683480, 280144041520475, 3292561150068214, 38899147293746645, 461696518011468240, 5502718866101560144
Offset: 0
A036734
G.f. satisfies A(x) = 1 + x*cycle_index(G,A(x)) where G = cyclic group of order 29 generated by (1,2,...,29).
Original entry on oeis.org
1, 1, 1, 15, 169, 1800, 20371, 244910, 3040077, 38536220, 497448748, 6520390159, 86537978247, 1160501200072, 15701226207738, 214065289477684, 2938015568578373, 40560724227425738, 562873413404115624, 7847402027686786922, 109861412175159915140
Offset: 0
A036735
G.f. satisfies A(x) = 1 + x*cycle_index(G,A(x)) where G = cyclic group of order 31 generated by (1,2,...,31).
Original entry on oeis.org
1, 1, 1, 16, 191, 2136, 25282, 318288, 4141179, 55011100, 744023566, 10218244168, 142097817686, 1996654572040, 28305096013380, 404343620288016, 5814760281237459, 84111739834677030, 1223022979126528390, 17865805764222959380, 262068371593318209826
Offset: 0
A036736
G.f. satisfies A(x) = 1 + x*cycle_index(G,A(x)) where G = cyclic group of order 37 generated by (1,2,...,37).
Original entry on oeis.org
1, 1, 1, 19, 265, 3382, 45127, 642124, 9472141, 142620175, 2184923102, 33988562262, 535424509399, 8522588308676, 136861340397600, 2214681188316280, 36077557678826285, 591161620794823095, 9737057245791110455, 161123397926645680215, 2677275836361432889470
Offset: 0
Showing 1-10 of 12 results.