A371436 - OEIS

A371436

Expansion of (1/x) * Series_Reversion( x * ((1-x)^4 + x) ).

1, 3, 12, 49, 179, 441, -860, -23634, -229246, -1705649, -10757370, -57800600, -246084657, -551185526, 3612960360, 66196180728, 641858169138, 4911870929096, 31792139997384, 172691510260794, 711428107177975, 1066704835555530, -18659356513414560

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..22.

Index entries for reversions of series

FORMULA

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

PROG

(PARI) my(N=30, x='x+O('x^N)); Vec(serreverse(x*((1-x)^4+x))/x)

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

CROSSREFS

Cf. A369124, A369216.

Sequence in context: A304560 A060113 A134589 * A178872 A323263 A344136

Adjacent sequences: A371433 A371434 A371435 * A371437 A371438 A371439

KEYWORD

sign

AUTHOR

Seiichi Manyama, Mar 23 2024

STATUS

approved