A375799
Expansion of e.g.f. 1/(1 + (log(1 - x^3))/x^2).
Original entry on oeis.org
1, 1, 2, 6, 36, 240, 1800, 16800, 178080, 2086560, 27518400, 399168000, 6286896000, 107623676160, 1984274772480, 39143052748800, 824445099878400, 18450791322163200, 437015358530150400, 10929450232744243200, 287728555881102336000, 7952251084537503744000
Offset: 0
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my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1+log(1-x^3)/x^2)))
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a(n) = n!*sum(k=0, n\3, (n-3*k)!*abs(stirling(n-2*k, n-3*k, 1))/(n-2*k)!);
A375806
Expansion of e.g.f. 1/(1 + (log(1 - x^2))/x)^2.
Original entry on oeis.org
1, 2, 6, 30, 192, 1520, 14220, 153720, 1881600, 25728192, 388402560, 6415960320, 115078138560, 2227056923520, 46247253212160, 1025696098627200, 24195406204569600, 604862279807385600, 15973029429800002560, 444299711254300661760, 12983645995613669376000
Offset: 0
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my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1+log(1-x^2)/x)^2))
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a(n) = n!*sum(k=0, n\2, (n-2*k+1)!*abs(stirling(n-k, n-2*k, 1))/(n-k)!);
A375807
Expansion of e.g.f. 1/(1 + (log(1 - x^2))/x)^3.
Original entry on oeis.org
1, 3, 12, 69, 504, 4440, 45720, 538020, 7116480, 104455008, 1684005120, 29571696000, 561695238720, 11472451848000, 250694772007680, 5835284153899200, 144124039400140800, 3764378233282867200, 103661897106414366720, 3001493647870874956800
Offset: 0
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my(N=20, x='x+O('x^N)); Vec(serlaplace(1/(1+log(1-x^2)/x)^3))
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a(n) = n!*sum(k=0, n\2, (n-2*k+2)!*abs(stirling(n-k, n-2*k, 1))/(n-k)!)/2;
Showing 1-3 of 3 results.