A376487 G.f. satisfies A(x) = 1 / (1 - x^4*A(x)^4 * (1 + x)).

1, 0, 0, 0, 1, 1, 0, 0, 5, 10, 5, 0, 35, 105, 105, 35, 285, 1140, 1710, 1140, 2815, 12650, 25300, 25300, 36401, 145036, 356265, 475020, 588145, 1765666, 4893231, 8115800, 10446245, 23513040, 66875620, 130736800, 187081505, 346058115, 927465240

Offset

0,9

Links

Table of n, a(n) for n=0..38.

Index entries for reversions of series

Formula

G.f.: (1/x) * Series_Reversion( x*(1-x^4)/(1+x^5) ).

a(n) = Sum_{k=0..floor(n/4)} binomial(5*k,k) * binomial(k,n-4*k) / (4*k+1).

Prog

(PARI) a(n) = sum(k=0, n\4, binomial(5*k, k)*binomial(k, n-4*k)/(4*k+1));

Crossrefs

Cf. A005043, A052709, A376486.

Sequence in context: A066200 A357913 A053822 * A262922 A276652 A137404

Adjacent sequences: A376484 A376485 A376486 * A376488 A376489 A376490

Keyword

nonn

Author

Seiichi Manyama, Sep 25 2024

Status

approved