A379876 - OEIS

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A379876

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

4

1, 0, 1, 5, 53, 689, 11509, 231083, 5448841, 147483665, 4508952641, 153682778435, 5778729641629, 237643665397241, 10610714800698349, 511207317411929339, 26434273616510818961, 1460296693254659368481, 85832214445015447832569, 5348490494660467991798003

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

OFFSET

0,4

LINKS

Table of n, a(n) for n=0..19.

FORMULA

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

PROG

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

CROSSREFS

Cf. A379871, A379877, A379878.

Cf. A377859, A379875.

Sequence in context: A123788 A333096 A036910 * A235371 A036916 A118583

Adjacent sequences: A379873 A379874 A379875 * A379877 A379878 A379879

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Jan 05 2025

STATUS

approved