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

0,3

Links

Table of n, a(n) for n=0..19.

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)!.

Prog

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

Crossrefs

Cf. A379877, A379937.

Sequence in context: A082980 A157536 A046488 * A074880 A225884 A115647

Adjacent sequences: A379936 A379937 A379938 * A379940 A379941 A379942

Keyword

nonn,new

Author

Seiichi Manyama, Jan 07 2025

Status

approved