A371228 - OEIS

A371228

E.g.f. satisfies A(x) = 1 - x*A(x)*log(1 - x*A(x)^2).

1, 0, 2, 3, 80, 510, 12084, 164640, 4272736, 91935648, 2769703920, 80692896240, 2849745645504, 103479044628960, 4250475820200960, 183436357950387360, 8649275730513361920, 430735131434242736640, 22999938416454315239424, 1295673669960473064844800

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OFFSET

0,3

LINKS

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

FORMULA

a(n) = n! * Sum_{k=0..floor(n/2)} (2*n-k)! * |Stirling1(n-k,k)|/( (n-k)! * (2*n-2*k+1)! ).

PROG

(PARI) a(n) = n!*sum(k=0, n\2, (2*n-k)!*abs(stirling(n-k, k, 1))/((n-k)!*(2*n-2*k+1)!));

CROSSREFS

Cf. A371227, A371229, A371230.

Cf. A371121.

Sequence in context: A166091 A371141 A370993 * A068185 A037391 A037427

Adjacent sequences: A371225 A371226 A371227 * A371229 A371230 A371231

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Mar 15 2024

STATUS

approved