A379939 E.g.f. A(x) satisfies A(x) = ( exp(-x*A(x)^(2/3)) + x*A(x) )^3.

1, 0, 3, 6, 117, 852, 16335, 231354, 5169801, 109149768, 2929053339, 81073827150, 2593779841917, 87970941597276, 3298932148606887, 131818125152516418, 5692856683050644625, 261303806858004143376, 12794600152539073620531, 662722202747157809616918

Offset: 0

Author

Seiichi Manyama, Jan 07 2025

Keywords

• nonn

Crossrefs

Cf. A379877, A379937.

Programs

PARI

a(n) = -3*n!*sum(k=0, n, (-2*n-3)^(n-k-1)*binomial(2*n+k+2, k)/(n-k)!);

Formula

E.g.f.: B(x)^3, where B(x) is the e.g.f. of A379877.

a(n) = -3 * n! * Sum_{k=0..n} (-2*n-3)^(n-k-1) * binomial(2*n+k+2,k)/(n-k)!.