A365731 G.f. satisfies A(x) = 1 + x^4*A(x)^5*(1 + x*A(x)).

1, 0, 0, 0, 1, 1, 0, 0, 5, 11, 6, 0, 35, 120, 136, 51, 285, 1330, 2310, 1771, 3036, 14950, 35100, 40950, 47502, 175392, 503440, 791120, 927520, 2272424, 7037184, 13803405, 18643560, 33997080, 98920536, 226318196, 359255325, 578590155, 1445166360, 3584815443, 6573439928

Offset

0,9

Links

Table of n, a(n) for n=0..40.

Formula

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

Prog

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

Crossrefs

Cf. A365727, A365728, A365729, A365730.

Cf. A215342.

Sequence in context: A110353 A097720 A077806 * A019305 A274266 A365726

Adjacent sequences: A365728 A365729 A365730 * A365732 A365733 A365734

Keyword

nonn

Author

Seiichi Manyama, Sep 17 2023

Status

approved