A371119
E.g.f. satisfies A(x) = 1 + x*A(x)*(exp(x*A(x)) - 1).
Original entry on oeis.org
1, 0, 2, 3, 52, 305, 4866, 57337, 1048776, 18547713, 407900710, 9436057961, 248501026236, 7021087254337, 217488458525898, 7223642070331065, 258233053457437456, 9841074705853124609, 399304906991091898830, 17163110041947804495817, 779646387683354742170820
Offset: 0
-
a(n) = n!^2*sum(k=0, n\2, stirling(n-k, k, 2)/((n-k)!*(n-k+1)!));
A371229
E.g.f. satisfies A(x) = 1 - x*A(x)^2*log(1 - x*A(x)^2).
Original entry on oeis.org
1, 0, 2, 3, 104, 630, 19944, 259560, 8718464, 185086944, 6914815200, 206059083120, 8700740615808, 332779651158240, 15916427365716864, 738672634596405600, 39847940942657495040, 2163098542598925281280, 130682368989193123952640
Offset: 0
-
a(n) = n!*(2*n)!*sum(k=0, n\2, abs(stirling(n-k, k, 1))/((n-k)!*(2*n-k+1)!));
A371228
E.g.f. satisfies A(x) = 1 - x*A(x)*log(1 - x*A(x)^2).
Original entry on oeis.org
1, 0, 2, 3, 80, 510, 12084, 164640, 4272736, 91935648, 2769703920, 80692896240, 2849745645504, 103479044628960, 4250475820200960, 183436357950387360, 8649275730513361920, 430735131434242736640, 22999938416454315239424, 1295673669960473064844800
Offset: 0
-
a(n) = n!*sum(k=0, n\2, (2*n-k)!*abs(stirling(n-k, k, 1))/((n-k)!*(2*n-2*k+1)!));
A371122
E.g.f. satisfies A(x) = 1 - x*A(x)^3*log(1 - x*A(x)).
Original entry on oeis.org
1, 0, 2, 3, 104, 570, 19284, 220500, 7975008, 148889664, 5911249680, 157016471040, 6913129099392, 239681708117280, 11734594390915200, 501510627153244800, 27265653826293749760, 1380895751066249779200, 83060557136719693406208
Offset: 0
-
a(n) = n!*sum(k=0, n\2, (n+2*k)!*abs(stirling(n-k, k, 1))/((n-k)!*(n+k+1)!));
A371231
E.g.f. satisfies A(x) = 1 - x*A(x)^3*log(1 - x*A(x)^3).
Original entry on oeis.org
1, 0, 2, 3, 152, 930, 42804, 574140, 27267456, 613793376, 31378237200, 1021391030880, 57256014687552, 2456525677525920, 152135168050833408, 8093376365276966400, 554533365688970342400, 35081649646969248529920, 2653840371674014197608448
Offset: 0
-
a(n) = n!*(3*n)!*sum(k=0, n\2, abs(stirling(n-k, k, 1))/((n-k)!*(3*n-k+1)!));
A371138
E.g.f. satisfies A(x) = 1 - x^2*A(x)^2*log(1 - x*A(x)).
Original entry on oeis.org
1, 0, 0, 6, 12, 40, 2340, 18648, 154560, 5767200, 95911200, 1438778880, 48014778240, 1228487644800, 27997623029376, 972327510000000, 32550437645107200, 1006902423902269440, 38894136241736494080, 1569697954634035537920, 61093442927846310912000
Offset: 0
-
a(n) = n!^2*sum(k=0, n\3, abs(stirling(n-2*k, k, 1))/((n-2*k)!*(n-k+1)!));
A377390
Expansion of e.g.f. (1/x) * Series_Reversion( x/(1 - x*log(1-x))^2 ).
Original entry on oeis.org
1, 0, 4, 6, 232, 1380, 46308, 593880, 20639456, 434113344, 16557009840, 490894572960, 20995513516800, 801146038080960, 38632110899469696, 1791609186067646400, 97167945389675212800, 5275541489312858803200, 319879838094553691744256, 19820894989178283188198400
Offset: 0
-
a(n) = 2*n!*(2*n+1)!*sum(k=0, n\2, abs(stirling(n-k, k, 1))/((n-k)!*(2*n-k+2)!));
A377391
Expansion of e.g.f. (1/x) * Series_Reversion( x/(1 - x*log(1-x))^3 ).
Original entry on oeis.org
1, 0, 6, 9, 528, 3150, 157032, 2060100, 102770112, 2276373456, 120136435200, 3868551141840, 221493499198848, 9438561453784320, 592954244405195904, 31417910131585330080, 2173884244961012121600, 137231093173511486016000, 10452538023125775799541760
Offset: 0
-
a(n) = 3*n!*(3*n+2)!*sum(k=0, n\2, abs(stirling(n-k, k, 1))/((n-k)!*(3*n-k+3)!));
A376292
E.g.f. satisfies A(x) = 1 - (x*A(x))^3 * log(1 - x*A(x)).
Original entry on oeis.org
1, 0, 0, 0, 24, 60, 240, 1260, 169344, 1693440, 17150400, 187941600, 12778698240, 271809457920, 5031211086720, 91848556800000, 4643532967772160, 154079136039628800, 4367731446302515200, 117143657916761548800, 5457792037686441984000
Offset: 0
-
a(n) = n!^2*sum(k=0, n\4, abs(stirling(n-3*k, k, 1))/((n-3*k)!*(n-k+1)!));
Showing 1-9 of 9 results.