A367016 G.f. satisfies A(x) = 1 + x*A(x)^4*(1 - x).

1, 1, 3, 14, 78, 475, 3057, 20446, 140702, 989789, 7085635, 51451482, 378049810, 2805616460, 20999408480, 158337719608, 1201585477436, 9170328295222, 70339328959266, 541953619822062, 4192560258116202, 32552250308843605, 253583917423039079

Offset: 0

Author

Seiichi Manyama, Nov 01 2023

Keywords

• nonn

Crossrefs

Cf. A200753, A367017.

Cf. A002293, A365178.

Programs

PARI

a(n) = sum(k=0, n, (-1)^(n-k)*binomial(k, n-k)*binomial(4*k, k)/(3*k+1));

Formula

a(n) = Sum_{k=0..n} (-1)^(n-k) * binomial(k,n-k) * A002293(k).