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A003581 Dowling numbers. 0
1, 2, 13, 143, 1852, 27563, 473725, 9290396, 203745235, 4912490375, 128777672338, 3643086083981, 110557605978901, 3579776914324250, 123074955978249433, 4474133111905169219, 171363047274358839412 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..16.

Moussa Benoumhani, On Whitney numbers of Dowling lattices, Discrete Math. 159 (1996), no. 1-3, 13-33.

FORMULA

E.g.f.: exp(z + 1/9*exp(9*z) - 1/9).

G.f.: 1/W(0), where W(k) = 1 - x - x/(1 - 9*(k+1)*x/W(k+1) ); (continued fraction). - Sergei N. Gladkovskii, Nov 07 2014

EXAMPLE

G.f. = 1 + 2*x + 13*x^2 + 143*x^3 + 1852*x^4 + 27563*x^5 + 473725*x^6 + ...

PROG

(PARI) Vec(serlaplace(exp(z + 1/9*exp(9*z) - 1/9))) \\ Michel Marcus, Nov 07 2014

CROSSREFS

Sequence in context: A003414 A003326 A207493 * A129256 A046245 A178248

Adjacent sequences:  A003578 A003579 A003580 * A003582 A003583 A003584

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified October 18 16:19 EDT 2018. Contains 316323 sequences. (Running on oeis4.)