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A204618 a(n) = n^2 * B(n) where B(n) are the Bell numbers, A000110. 0
0, 1, 8, 45, 240, 1300, 7308, 42973, 264960, 1712907, 11597500, 82106970, 606757968, 4671909853, 37416267112, 311165672625, 2682916389632, 23947947373356, 220992885195516, 2105619936025577, 20689663294148800, 209417588925127191, 2181250417408504332 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..22.

FORMULA

E.g.f.: (x+x^2+x^2 exp(x))exp(exp(x)+x-1) which is x*A'(x) where A(x) is the e.g.f. for A070071.

MATHEMATICA

nn=20; a=Exp[Exp[x]-1]; Range[0, nn]!CoefficientList[Series[x D[x D[a, x], x], {x, 0, nn}], x]

CROSSREFS

Cf. A000110, A070071.

Sequence in context: A032208 A163003 A055422 * A289896 A006887 A009369

Adjacent sequences:  A204615 A204616 A204617 * A204619 A204620 A204621

KEYWORD

nonn

AUTHOR

Geoffrey Critzer, Jan 17 2012

STATUS

approved

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Last modified September 26 14:12 EDT 2017. Contains 292529 sequences.