A376805 - OEIS

A376805

Expansion of 1/((1 - x^2)^3 - 9*x)^(1/3).

1, 3, 19, 138, 1072, 8661, 71758, 605094, 5169286, 44605527, 387969346, 3396331158, 29891385937, 264264469542, 2345319267553, 20883723678234, 186497307222706, 1669724703219384, 14983025158691938, 134719748524295094, 1213531265862339751

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OFFSET

0,2

LINKS

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

FORMULA

a(n) = Sum_{k=0..floor(n/2)} (-9)^(n-2*k) * binomial(-1/3,n-2*k) * binomial(3*n-5*k,k).

PROG

(PARI) my(N=30, x='x+O('x^N)); Vec(1/((1-x^2)^3-9*x)^(1/3))

CROSSREFS

Cf. A376802, A376806.

Sequence in context: A321349 A115750 A156894 * A221374 A391465 A073515

Adjacent sequences: A376802 A376803 A376804 * A376806 A376807 A376808

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Oct 04 2024

STATUS

approved