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A118790

Secondary diagonal of triangle A118788.

1, 3, 23, 255, 3679, 65247, 1371887, 33347535, 919848991, 28382683263, 968565339983, 36217270235055, 1472548026160639, 64679673007670367, 3052084360057720367, 153980839859926277775, 8270901171633696369631

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OFFSET

0,2

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..200

FORMULA

a(n) = (n+1)!*[x^n] ( x/(2*x + log(1-x)) )^(n+2).

a(n) ~ n^(n+1) / (4 * exp(n) * (1 - log(2))^(n + 3/2)). - Vaclav Kotesovec, Sep 01 2025

MATHEMATICA

Table[(n+1)! * SeriesCoefficient[(x/(2*x + Log[1-x]))^(n+2), {x, 0, n}], {n, 0, 20}] (* Vaclav Kotesovec, Sep 01 2025 *)

PROG

(PARI)

{a(n)=local(x=X+X^2*O(X^(n))); (n+1)!*polcoeff((x/(2*x+log(1-x)))^(n+2), n, X)}

CROSSREFS

Cf. A118788, A118789.

Sequence in context: A199750 A318004 A098681 * A159017 A385413 A004700

Adjacent sequences: A118787 A118788 A118789 * A118791 A118792 A118793

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Apr 29 2006

STATUS

approved

URL: https://oeis.org/A118790

⇱ A118790 - OEIS