A353882
Expansion of e.g.f. 1/(1 - (x * log(1-x))^4 / 576).
Original entry on oeis.org
1, 0, 0, 0, 0, 0, 0, 0, 70, 1260, 17850, 242550, 3350655, 48108060, 724403680, 11478967500, 191632761320, 3369643717440, 62346624827760, 1212116258480400, 24721764604046280, 528066880710319440, 11793526736005503720, 274937000436908714520
Offset: 0
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my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1-(x*log(1-x))^4/576)))
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a(n) = n!*sum(k=0, n\8, (4*k)!*abs(stirling(n-4*k, 4*k, 1))/(576^k*(n-4*k)!));
A353883
Expansion of e.g.f. 1/(1 - (x * (exp(x) - 1))^2 / 4).
Original entry on oeis.org
1, 0, 0, 0, 6, 30, 105, 315, 3388, 47628, 497115, 4172025, 37829946, 491971194, 7699457857, 114432747975, 1602464966040, 23767387469688, 408590795439351, 7756561553900085, 149537297087139910, 2889288053301888630, 58297667473293537597
Offset: 0
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my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1-(x*(exp(x)-1))^2/4)))
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a(n) = n!*sum(k=0, n\4, (2*k)!*stirling(n-2*k, 2*k, 2)/(4^k*(n-2*k)!));
A353884
Expansion of e.g.f. 1/(1 - (x * (exp(x) - 1))^3 / 36).
Original entry on oeis.org
1, 0, 0, 0, 0, 0, 20, 210, 1400, 7560, 36120, 159390, 1035100, 17082780, 329893564, 5336661330, 73265956400, 889068944400, 9968073461616, 112902000191334, 1531070090032500, 27610559023112100, 586336131631313140, 12550716321612658266, 254052845940651258600
Offset: 0
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my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1-(x*(exp(x)-1))^3/36)))
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a(n) = n!*sum(k=0, n\6, (3*k)!*stirling(n-3*k, 3*k, 2)/(36^k*(n-3*k)!));
A353896
Expansion of e.g.f. exp( (x * (exp(x) - 1))^4 / 576 ).
Original entry on oeis.org
1, 0, 0, 0, 0, 0, 0, 0, 70, 1260, 13650, 115500, 841995, 5555550, 34139105, 198948750, 1144463320, 8171563400, 112204064700, 2364061354200, 49912312090845, 951208121086650, 16403948060775275, 260328078068154250, 3860274855288458376, 54182965918066177500
Offset: 0
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my(N=30, x='x+O('x^N)); Vec(serlaplace(exp((x*(exp(x)-1))^4/576)))
-
a(n) = n!*sum(k=0, n\8, (4*k)!*stirling(n-4*k, 4*k, 2)/(576^k*k!*(n-4*k)!));
Showing 1-4 of 4 results.