A366101 Expansion of (1/x) * Series_Reversion( x*(1+x-x^5)/(1+x) ).

1, 0, 0, 0, 0, 1, -1, 1, -1, 1, 5, -12, 20, -29, 39, 1, -109, 305, -611, 1051, -1145, 139, 3055, -9924, 22424, -37574, 43476, -14035, -97831, 368715, -852385, 1470767, -1823523, 885634, 3444224, -14239745, 34089723, -61051093, 80200515, -48234695, -123155951

Offset

0,11

Links

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

Formula

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

Prog

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

Crossrefs

Cf. A366071, A366102.

Sequence in context: A047077 A326663 A086570 * A270333 A270938 A270079

Adjacent sequences: A366098 A366099 A366100 * A366102 A366103 A366104

Keyword

sign

Author

Seiichi Manyama, Sep 29 2023

Status

approved