A365702 G.f. satisfies A(x) = 1 + x^5*A(x)^5 / (1 - x*A(x)).

1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 6, 12, 19, 27, 36, 81, 177, 341, 592, 951, 1726, 3417, 6766, 12812, 22951, 41531, 78222, 151291, 291957, 550015, 1024683, 1924543, 3671017, 7063893, 13532120, 25730347, 48840523, 93154161, 178806493, 343926597, 660308308, 1265195467

Offset

0,11

Links

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

Formula

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

Prog

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

Crossrefs

Cf. A212364, A365698, A365699, A365700, A365701.

Cf. A000108, A005043, A114997, A215341.

Sequence in context: A078816 A374908 A051936 * A215342 A146923 A349791

Adjacent sequences: A365699 A365700 A365701 * A365703 A365704 A365705

Keyword

nonn

Author

Seiichi Manyama, Sep 16 2023

Status

approved