A365087 G.f. satisfies A(x) = 1 + x*A(x) / (1 + x*A(x))^4.

1, 1, -3, -1, 29, -44, -265, 1114, 1369, -19076, 20388, 250977, -875281, -2116594, 19136754, -7765108, -306092007, 830209808, 3388957208, -22266676364, -8185922076, 413223401045, -814031607979, -5513566634947, 27558060911119, 35395095404776

Offset

0,3

Links

Table of n, a(n) for n=0..25.

Formula

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

Prog

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

Crossrefs

Cf. A090192, A365085, A365086, A365088.

Cf. A321798, A364737, A365083.

Sequence in context: A188110 A358165 A298399 * A120066 A326797 A227953

Adjacent sequences: A365084 A365085 A365086 * A365088 A365089 A365090

Keyword

sign

Author

Seiichi Manyama, Aug 21 2023

Status

approved