A366328 G.f. satisfies A(x) = (1 + x) * (1 + x/A(x)^4).

1, 2, -7, 60, -612, 6898, -82806, 1038076, -13431940, 178040315, -2405137161, 32992706368, -458336721104, 6435090557964, -91167680664004, 1301665779507128, -18710805300530504, 270559054510943509, -3932893180646204203, 57437414168562779574, -842365843304975785062

Offset

0,2

Links

Table of n, a(n) for n=0..20.

Formula

a(n) = (-1)^(n-1) * Sum_{k=0..n} binomial(5*k-1,k) * binomial(n+3*k-2,n-k)/(5*k-1).

Prog

(PARI) a(n) = (-1)^(n-1)*sum(k=0, n, binomial(5*k-1, k)*binomial(n+3*k-2, n-k)/(5*k-1));

Crossrefs

Cf. A073157, A364336, A364337, A364338, A364339, A366325, A366326, A366327.

Cf. A118971, A364408.

Sequence in context: A274600 A352625 A308681 * A091687 A000892 A211875

Adjacent sequences: A366325 A366326 A366327 * A366329 A366330 A366331

Keyword

sign

Author

Seiichi Manyama, Oct 07 2023

Status

approved