A343441 G.f.: 1 + C(1)*x/(1 + C(2)*x/(1 + C(3)*x/(1 + C(4)*x/(1 + C(5)*x/(1 +...))))), where C(n) are the Catalan numbers A000108.

1, 1, -2, 14, -238, 10486, -1360142, 566636294, -790250356798, 3769300938094006, -62394920105801115182, 3626853378943129415555174, -747708300997964314376024192158, 551445848326104642338923476399909526, -1465934793325188376367147565710854513799822, 14139840911021914090289579305382872859520174083654

Offset

0,3

Links

Seiichi Manyama, Table of n, a(n) for n = 0..61

Formula

G.f.: 1/(Sum_{k>=0} A268646(k) * (-x)^k).

Prog

(PARI) c(n) = binomial(2*n, n)/(n+1);
a(n) = my(A=1+O(x)); for(i=1, n, A=1+c(n-i+1)*x/A); polcoef(A, n);

Crossrefs

Cf. A000108, A268646.

Sequence in context: A053846 A053855 A219344 * A152476 A373870 A070813

Adjacent sequences: A343438 A343439 A343440 * A343442 A343443 A343444

Keyword

sign

Author

Seiichi Manyama, Apr 15 2021

Status

approved