A379194 G.f. A(x) satisfies A(x) = (1 + x*A(x))^2/(1 - x*A(x)^3).

1, 3, 19, 174, 1883, 22323, 280409, 3666736, 49386326, 680431419, 9544684113, 135852904486, 1957119390279, 28482417043498, 418119577938769, 6184065626127498, 92062362629472668, 1378427894172778961, 20744229318047760620, 313606289763390553200, 4760422971894347226659

Offset

0,2

Links

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

Formula

a(n) = Sum_{k=0..n} binomial(n+3*k+1,k) * binomial(2*n+4*k+2,n-k)/(n+3*k+1).

Prog

(PARI) a(n) = sum(k=0, n, binomial(n+3*k+1, k)*binomial(2*n+4*k+2, n-k)/(n+3*k+1));

Crossrefs

Cf. A349310, A379191.

Cf. A379193.

Sequence in context: A275283 A349768 A083071 * A305459 A045531 A129481

Adjacent sequences: A379191 A379192 A379193 * A379195 A379196 A379197

Keyword

nonn

Author

Seiichi Manyama, Dec 17 2024

Status

approved