A369513 Expansion of (1/x) * Series_Reversion( x * ((1-x)^3-x^2)^2 ).

1, 6, 59, 704, 9317, 131534, 1940819, 29572146, 461725783, 7348829928, 118788308725, 1944758772450, 32180850839619, 537370617961928, 9043679909643500, 153238910560266234, 2612067747321247779, 44760267182734834916, 770626480741892413249

Offset

0,2

Links

Table of n, a(n) for n=0..18.

Index entries for reversions of series

Formula

a(n) = (1/(n+1)) * Sum_{k=0..floor(n/2)} binomial(2*n+k+1,k) * binomial(7*n+k+5,n-2*k).

Prog

(PARI) my(N=20, x='x+O('x^N)); Vec(serreverse(x*((1-x)^3-x^2)^2)/x)
(PARI) a(n) = sum(k=0, n\2, binomial(2*n+k+1, k)*binomial(7*n+k+5, n-2*k))/(n+1);

Crossrefs

Cf. A369512, A369514.

Sequence in context: A224757 A354864 A114501 * A256035 A296169 A089153

Adjacent sequences: A369510 A369511 A369512 * A369514 A369515 A369516

Keyword

nonn

Author

Seiichi Manyama, Jan 25 2024

Status

approved