A367162 - OEIS

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A367162

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

6

1, 1, 7, 94, 1917, 52806, 1837511, 77372590, 3826454617, 217450806550, 13964683107195, 1000222945246878, 79058281093939109, 6835704081028512886, 641830800234353986639, 65035909964873069979598, 7073810997780630959477937, 822049309574436641341233366

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OFFSET

0,3

LINKS

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

FORMULA

a(n) = Sum_{k=0..n} (n+2*k)!/(n+k+1)! * Stirling2(n,k).

PROG

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

CROSSREFS

Cf. A000272, A052894, A367163.

Sequence in context: A132114 A221384 A243679 * A360474 A327843 A015225

Adjacent sequences: A367159 A367160 A367161 * A367163 A367164 A367165

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Nov 07 2023

STATUS

approved