A376728 - OEIS

A376728

Expansion of (1 + x^4 - x^5)/((1 + x^4 - x^5)^2 - 4*x^4).

1, 0, 0, 0, 3, 1, 0, 0, 5, 10, 1, 0, 7, 35, 21, 1, 9, 84, 126, 36, 12, 165, 462, 330, 68, 287, 1287, 1716, 730, 533, 3004, 6435, 5022, 2045, 6293, 19449, 24329, 13345, 14008, 50524, 92400, 76912, 47481, 120156, 294124, 354488, 237139, 299421, 823200, 1354588

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OFFSET

0,5

LINKS

Table of n, a(n) for n=0..49.

Index entries for linear recurrences with constant coefficients, signature (0,0,0,2,2,0,0,-1,2,-1).

FORMULA

a(n) = 2*a(n-4) + 2*a(n-5) - a(n-8) + 2*a(n-9) - a(n-10).

a(n) = Sum_{k=0..floor(n/4)} binomial(2*k+1,2*n-8*k+1).

PROG

(PARI) my(N=50, x='x+O('x^N)); Vec((1+x^4-x^5)/((1+x^4-x^5)^2-4*x^4))

(PARI) a(n) = sum(k=0, n\4, binomial(2*k+1, 2*n-8*k+1));

CROSSREFS

Cf. A099511, A376726, A376727.

Cf. A376725, A376731.

Sequence in context: A318502 A115090 A112295 * A318973 A110517 A091925

Adjacent sequences: A376725 A376726 A376727 * A376729 A376730 A376731

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Oct 03 2024

STATUS

approved

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