A353177 - OEIS

A353177

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

1, 1, 1, -2, -13, 61, 612, -8924, -41991, 2821876, -22689807, -1196339088, 45175812442, 10968806278, -63633205318330, 2495113782094766, 31372553334367367, -8832192422722410665, 421480840601004167822, 9536361803340658184343

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OFFSET

0,4

LINKS

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

FORMULA

E.g.f. A(x) satisfies: A(-log(1-x)) = 1 + x*A(x).

a(0) = 1; a(n) = Sum_{k=1..n} (-1)^(n-k) * k * Stirling2(n,k) * a(k-1).

PROG

(PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=1, i, (-1)^(i-j)*j*stirling(i, j, 2)*v[j])); v;

CROSSREFS

Cf. A135750, A213357, A354574, A354728, A354730.

Sequence in context: A354942 A205532 A294052 * A089130 A081340 A211067

Adjacent sequences: A353174 A353175 A353176 * A353178 A353179 A353180

KEYWORD

sign

AUTHOR

Seiichi Manyama, Jun 04 2022

STATUS

approved