VOOZH about

URL: https://oeis.org/A376387

⇱ A376387 - OEIS

login
A376387
Expansion of e.g.f. ( (1/x) * Series_Reversion( x*(1 + x*log(1-x))^3 ) )^(2/3).
1
1, 0, 4, 6, 376, 2220, 125028, 1614480, 92285856, 2018520000, 121850616240, 3907998135360, 253836993367296, 10891474747433280, 768302761361304960, 41447634607068318720, 3187906294983450762240, 206982374312337802536960, 17368877655215923728595968
OFFSET
0,3
FORMULA
E.g.f.: B(x)^2, where B(x) is the e.g.f. of A371232.
a(n) = (2 * n!/(3*n+2)!) * Sum_{k=0..floor(n/2)} (3*n+k+1)! * |Stirling1(n-k,k)|/(n-k)!.
PROG
(PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace((serreverse(x*(1+x*log(1-x))^3)/x)^(2/3)))
(PARI) a(n) = 2*n!*sum(k=0, n\2, (3*n+k+1)!*abs(stirling(n-k, k, 1))/(n-k)!)/(3*n+2)!;
CROSSREFS
Sequence in context: A113838 A056831 A376383 * A027717 A035481 A323214
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Sep 22 2024
STATUS
approved