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A185387 E.g.f. exp(x)+log(1/(1-x)). 1
1, 2, 2, 3, 7, 25, 121, 721, 5041, 40321, 362881, 3628801, 39916801, 479001601, 6227020801, 87178291201, 1307674368001, 20922789888001, 355687428096001, 6402373705728001 (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, 3rd kind, 3-step).

E.g.f. = 1 + x*G(0)) where G(k)= 1 + k!/(1 - x/(x + (k+2)*(k!)/G(k+1))); (continued fraction, 3rd kind, 3-step).

(End).

MATHEMATICA

Join[{1}, Range[0, 20]!+1] (* Harvey P. Dale, Jun 28 2011 *)

PROG

(PARI)

Vec(serlaplace(exp(x)+log(1/(1-x)))) [Joerg Arndt, Mar 03 2011]

(MAGMA) [1], [(1+Factorial(n-1)): n in [1..20]]; // Vincenzo Librandi, Oct 04 2011

CROSSREFS

Sequence in context: A076996 A139148 A293246 * A038507 A077001 A180996

Adjacent sequences:  A185384 A185385 A185386 * A185388 A185389 A185390

KEYWORD

nonn

AUTHOR

Vladimir Kruchinin, Feb 21 2011

STATUS

approved

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Last modified December 15 01:20 EST 2018. Contains 318141 sequences. (Running on oeis4.)