A377189 Expansion of 1/(1 - 4*x^2 - 4*x^3)^(5/2).

1, 0, 10, 10, 70, 140, 490, 1260, 3570, 9660, 25872, 69300, 182490, 480480, 1252680, 3255252, 8412690, 21655920, 55535480, 141921780, 361577216, 918529040, 2327337740, 5882631040, 14836032770, 37339221192, 93794645700, 235186913780, 588736957920, 1471462327160

Offset

0,3

Links

Table of n, a(n) for n=0..29.

Formula

a(0) = 1, a(1) = 0, a(2) = 10; a(n) = (4*(n+3)*a(n-2) + 2*(2*n+9)*a(n-3))/n.

a(n) = Sum_{k=0..floor(n/2)} (-4)^k * binomial(-5/2,k) * binomial(k,n-2*k).

Prog

(PARI) a(n) = sum(k=0, n\2, (-4)^k*binomial(-5/2, k)*binomial(k, n-2*k));

Crossrefs

Cf. A115962, A377186, A377190.

Cf. A374511.

Sequence in context: A056473 A241869 A243126 * A269921 A219797 A377215

Adjacent sequences: A377186 A377187 A377188 * A377190 A377191 A377192

Keyword

nonn

Author

Seiichi Manyama, Oct 19 2024

Status

approved