A294252 E.g.f.: exp((1+x)*(1+x^2)*(1+x^3)*(1+x^4) - 1).

1, 1, 3, 19, 121, 921, 8491, 89083, 1004529, 12855601, 180798931, 2688972771, 43446800233, 753263746249, 13821916933371, 268513532534731, 5515341294313441, 119063602254649953, 2692597826408668579, 63786073308011409331, 1576811081112158751321

Offset: 0

Author

Seiichi Manyama, Oct 26 2017

Keywords

• nonn

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..458

Crossrefs

Column k=4 of A294250.

Cf. A294215, A294292.

Programs

PARI

N=66; x='x+O('x^N); Vec(serlaplace(exp((1+x)*(1+x^2)*(1+x^3)*(1+x^4)-1)))

Formula

a(n) = a(n-1) + 2*(n-1)*a(n-2) + 6*(n-2)*(n-1)*a(n-3) + 8*(n-3)*(n-2)*(n-1)*a(n-4) + 10*(n-4)*(n-3)*(n-2)*(n-1)*a(n-5) + 12*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*a(n-6) + 14*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*a(n-7) + 8*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*a(n-8) + 9*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*a(n-9) + 10*(n-9)*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*a(n-10). - Vaclav Kotesovec, Dec 02 2021