A394557 G.f. A(x) satisfies [x^n] exp(n^3*x) (1 - E^3(x*A(x))) = 0 for n > 0, where E is the Euler operator x*d/dx.

1, 3, 84, 7204, 1287819, 396409761, 187649836282, 126812982000906, 116081214511284405, 138408056280920732755, 208562763729218143154952, 387738287385134555918104680, 872067990461956628694656371589, 2334516430785218073196998668443287, 7336829610681760558581808429825619472

Offset

0,2

Links

Table of n, a(n) for n=0..14.

Formula

a(n) = A107675(n)/(n+1)^3.

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

Crossrefs

Cf. A107669, A107675, A304396, A304397.

Sequence in context: A160880 A261008 A217524 * A203453 A086264 A160878

Adjacent sequences: A394554 A394555 A394556 * A394558 A394559 A394560

Keyword

nonn

Author

Seiichi Manyama, Mar 24 2026

Status

approved