A379858 E.g.f. A(x) satisfies A(x) = exp(-x*A(x)^3) + x.

1, 0, 1, -10, 157, -3136, 77509, -2288896, 78824953, -3105906688, 137925180361, -6818997285376, 371578940493589, -22130352562929664, 1430368670554859533, -99722125119137591296, 7459992570265962997489, -596072767690463855509504, 50666927756525446827810961

Offset

0,4

Links

Table of n, a(n) for n=0..18.

Formula

a(n) = n! * Sum_{k=0..n} (-3*n+4*k-1)^(n-k) * binomial(3*n-3*k+1,k)/( (3*n-3*k+1)*(n-k)! ).

Prog

(PARI) a(n) = n!*sum(k=0, n, (-3*n+4*k-1)^(n-k)*binomial(3*n-3*k+1, k)/((3*n-3*k+1)*(n-k)!));

Crossrefs

Cf. A379871, A379910, A379911.

Cf. A379856, A379875.

Sequence in context: A235340 A306034 A129460 * A200989 A268883 A283721

Adjacent sequences: A379854 A379855 A379856 * A379859 A379860 A379861

Keyword

sign

Author

Seiichi Manyama, Jan 05 2025

Status

approved