A363480 G.f. satisfies A(x) = exp( Sum_{k>=1} A(2*x^k)^2 * x^k/k ).

1, 1, 5, 49, 923, 32603, 2198413, 288677317, 74816592016, 38536646525164, 39578607089767640, 81176446754286348780, 332742981886258629407221, 2726830211640382050679262877, 44684572695377447660556579448947

Offset

0,3

Links

Table of n, a(n) for n=0..14.

Formula

G.f.: sqrt(B(x)) where B(x) is the g.f. of A363481.

Prog

(PARI) seq(n) = my(A=1); for(i=1, n, A=exp(sum(k=1, i, subst(A, x, 2*x^k)^2*x^k/k)+x*O(x^n))); Vec(A);

Crossrefs

Cf. A005750, A179470, A363481.

Sequence in context: A064618 A249588 A348901 * A193199 A224680 A075986

Adjacent sequences: A363477 A363478 A363479 * A363481 A363482 A363483

Keyword

nonn

Author

Seiichi Manyama, Jun 04 2023

Status

approved