A366365 - OEIS

A366365

G.f. satisfies A(x) = (1 + x/A(x)^3)/(1 - x).

1, 2, -4, 32, -240, 2064, -18816, 179264, -1762816, 17758976, -182342400, 1901196288, -20075427840, 214246524928, -2307200135168, 25039992254464, -273603550461952, 3007387399258112, -33230774508716032, 368915340555517952, -4112806343370539008

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OFFSET

0,2

LINKS

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

FORMULA

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

PROG

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

CROSSREFS

Cf. A346626, A349310, A349311, A349312, A349313, A349314, A366363, A366364, A366366.

Cf. A366358.

Sequence in context: A133127 A122693 A019060 * A247014 A085055 A075070

Adjacent sequences: A366362 A366363 A366364 * A366366 A366367 A366368

KEYWORD

sign

AUTHOR

Seiichi Manyama, Oct 08 2023

STATUS

approved