A366432 G.f. A(x) satisfies A(x) = 1 + x * (A(x) / (1 - x))^(7/2).

1, 1, 7, 49, 378, 3136, 27363, 247597, 2302511, 21872361, 211336755, 2070577285, 20522662832, 205411356794, 2073258075175, 21078157565623, 215658366319375, 2218853063356937, 22942886758494094, 238284942878492146, 2484736162773443446

Offset

0,3

Links

Table of n, a(n) for n=0..20.

Formula

a(n) = Sum_{k=0..n} binomial(n+5*k/2-1,n-k) * binomial(7*k/2,k) / (5*k/2+1).

Prog

(PARI) a(n) = sum(k=0, n, binomial(n+5*k/2-1, n-k)*binomial(7*k/2, k)/(5*k/2+1));

Crossrefs

Partial sums give A366401.

Cf. A366431, A366433, A366434, A366435, A366436, A366437.

Sequence in context: A344251 A333515 A324353 * A349781 A199554 A343583

Adjacent sequences: A366429 A366430 A366431 * A366433 A366434 A366435

Keyword

nonn

Author

Seiichi Manyama, Oct 09 2023

Status

approved