A384957 Expansion of g.f.: exp(Sum_{n>=1} A295433(n)*x^n/n).

1, 990, 2206149, 6450139410, 21553605027306, 77957908218716988, 297118041166459732781, 1175248212459867447863562, 4779368947089383238327733950, 19858241947988743766121587718308, 83936671517628352407663509802203682, 359778601391313651280693986124971038388, 1560159110515342136997114532804454280500084

Offset: 0

Author

Karol A. Penson, Jun 13 2025

Keywords

• nonn

Crossrefs

Cf. A295432, A255881, A243953, A166990, A229451, A383796.

Programs

PARI

seq(n)=Vec(exp(sum(n=1, n, (12*n)!*n!*x^n/((8*n)!*(3*n)!*(2*n)!)/n, O(x*x^n)) )) \\ Andrew Howroyd, Jun 13 2025

Formula

G.f.: exp(Sum_{n>=1} (12*n)!*n!*x^n/((8*n)!*(3*n)!*(2*n)!)/n).