A370996
Expansion of e.g.f. (1/x) * Series_Reversion( x*(1 + x^2/2*log(1-x)) ).
Original entry on oeis.org
1, 0, 0, 3, 6, 20, 810, 6174, 49560, 1439640, 22060080, 312487560, 8687891520, 199853503200, 4216976539776, 126706600944000, 3771722349158400, 106462579493088000, 3626324277349651200, 129806833608095575680, 4565069619653632320000
Offset: 0
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my(N=30, x='x+O('x^N)); Vec(serlaplace(serreverse(x*(1+x^2/2*log(1-x)))/x))
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a(n) = sum(k=0, n\3, (n+k)!*abs(stirling(n-2*k, k, 1))/(2^k*(n-2*k)!))/(n+1);
A370997
Expansion of e.g.f. (1/x) * Series_Reversion( x*(1 + x^3/6*log(1-x)) ).
Original entry on oeis.org
1, 0, 0, 0, 4, 10, 40, 210, 6944, 65520, 640800, 6837600, 157375680, 2741618880, 45897895680, 783559576800, 18503310228480, 440531086195200, 10407471103411200, 247739364392083200, 6801330820818124800, 198670207398879283200, 5945924796494183424000
Offset: 0
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my(N=30, x='x+O('x^N)); Vec(serlaplace(serreverse(x*(1+x^3/6*log(1-x)))/x))
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a(n) = sum(k=0, n\4, (n+k)!*abs(stirling(n-3*k, k, 1))/(6^k*(n-3*k)!))/(n+1);
A376346
Expansion of e.g.f. (1/x) * Series_Reversion( x*(1 + x*log(1-x^3)) ).
Original entry on oeis.org
1, 0, 0, 0, 24, 0, 0, 2520, 201600, 0, 1209600, 259459200, 16765056000, 1556755200, 639307468800, 100037089152000, 5967179676057600, 2815858805760000, 784290778951680000, 107737010595422208000, 6175610876944244736000, 8813187524619878400000, 2070195245189633802240000, 264886226510800191897600000
Offset: 0
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my(N=30, x='x+O('x^N)); Vec(serlaplace(serreverse(x*(1+x*log(1-x^3)))/x))
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a(n) = sum(k=0, n\3, (2*n-3*k)!*abs(stirling(k, n-3*k, 1))/k!)/(n+1);