A364763 G.f. satisfies A(x) = 1 / (1 + x*(1 + x*A(x))^5).

1, -1, -4, 4, 51, -6, -770, -694, 12363, 25583, -198824, -701944, 3049603, 17238467, -41348631, -396817391, 391720363, 8689985437, 1902247845, -181526287908, -253530149234, 3597968506523, 9727546141524, -66671292054788, -291760189535999, 1116731578365699

Offset

0,3

Links

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

Formula

a(n) = (1/(n+1)) * Sum_{k=0..n} (-1)^k * binomial(n+1,k) * binomial(5*k,n-k).

Prog

(PARI) a(n) = sum(k=0, n, (-1)^k*binomial(n+1, k)*binomial(5*k, n-k))/(n+1);

Crossrefs

Cf. A007440, A364760, A364761, A364762.

Cf. A364744.

Sequence in context: A341108 A189102 A220778 * A367891 A322099 A009644

Adjacent sequences: A364760 A364761 A364762 * A364764 A364765 A364766

Keyword

sign

Author

Seiichi Manyama, Aug 05 2023

Status

approved