A365701 G.f. satisfies A(x) = 1 + x^5*A(x)^4 / (1 - x*A(x)).

1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 5, 10, 16, 23, 31, 62, 128, 243, 423, 686, 1192, 2223, 4223, 7843, 13991, 24856, 45108, 83673, 156223, 288535, 527971, 966803, 1784663, 3319988, 6183424, 11483613, 21284475, 39499855, 73558147, 137347615, 256616567, 479231240

Offset

0,11

Links

Table of n, a(n) for n=0..41.

Formula

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

Prog

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

Crossrefs

Cf. A212364, A365698, A365699, A365700, A365702.

Sequence in context: A313940 A212455 A052905 * A306351 A215341 A345070

Adjacent sequences: A365698 A365699 A365700 * A365702 A365703 A365704

Keyword

nonn

Author

Seiichi Manyama, Sep 16 2023

Status

approved