A377891 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

A377891

E.g.f. A(x) satisfies A(x) = (1 + x*A(x)^3) * exp(x * A(x)).

1

1, 2, 19, 364, 10665, 423056, 21221851, 1288931456, 91977076561, 7543664425216, 699290913249891, 72306463481715200, 8251192866018497401, 1030074741274860240896, 139650729116792108398891, 20432888021354725476499456, 3209204194084043665909835937, 538542735919965101952197525504

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

LINKS

Table of n, a(n) for n=0..17.

FORMULA

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

PROG

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

CROSSREFS

Cf. A088690, A377826, A377890.

Sequence in context: A377892 A078369 A090308 * A110818 A325288 A155927

Adjacent sequences: A377888 A377889 A377890 * A377892 A377893 A377894

KEYWORD

nonn,new

AUTHOR

Seiichi Manyama, Nov 11 2024

STATUS

approved