A366366 - OEIS

A366366

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

1, 2, -6, 58, -574, 6402, -75878, 939290, -12000318, 157050178, -2094657926, 28368411194, -389079656446, 5393118559938, -75431624084838, 1063251390845338, -15088643098754942, 215396586102923138, -3091050571516120582, 44566089825496186170

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..19.

FORMULA

a(n) = (-1)^(n-1) * Sum_{k=0..n} binomial(5*k-1,k) * binomial(4*k-1,n-k)/(5*k-1).

PROG

(PARI) a(n) = (-1)^(n-1)*sum(k=0, n, binomial(5*k-1, k)*binomial(4*k-1, n-k)/(5*k-1));

CROSSREFS

Cf. A346626, A349310, A349311, A349312, A349313, A349314, A366363, A366364, A366365.

Cf. A366359.

Sequence in context: A209459 A209521 A357026 * A357092 A132525 A316198

Adjacent sequences: A366363 A366364 A366365 * A366367 A366368 A366369

KEYWORD

sign

AUTHOR

Seiichi Manyama, Oct 08 2023

STATUS

approved