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A185387

Expansion of e.g.f. exp(x)+log(1/(1-x)).

1, 2, 2, 3, 7, 25, 121, 721, 5041, 40321, 362881, 3628801, 39916801, 479001601, 6227020801, 87178291201, 1307674368001, 20922789888001, 355687428096001, 6402373705728001, 121645100408832001, 2432902008176640001, 51090942171709440001, 1124000727777607680001, 25852016738884976640001

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

COMMENTS

Apart from the offset, the same as A038507. - R. J. Mathar, Jun 07 2011

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

FORMULA

a(n) = (n-1)!+1, n>0, a(0)=1.

From Sergei N. Gladkovskii, Jun 14 2012: (Start)

G.f.: 1 + x*G(0) where G(k) = 1 + k!/(1 - x/(x + (k!)/G(k+1))); (continued fraction).

E.g.f.: 1 + x*G(0) where G(k) = 1 + k!/(1 - x/(x + (k+2)*(k!)/G(k+1))); (continued fraction).