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A106827 Numerators in expansion of (1 - x)^(-1/x) / e. 0
1, 1, 11, 315, 17129, 503475, 196385475, 35327367075, 8399994587985, 2550903574364145, 963207568455370875, 442613044315692124875, 243195136160954426677305, 157442856285298191126143625 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

REFERENCES

L. Comtet, Analyse Combinatoire, P. U. F., 1970, tome second, p. 140, #12.

L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 293, Problem 11.

S. R. Finch, Mathematical Constants, Cambridge, 2003, Section 1 . 3 . 1.

LINKS

Table of n, a(n) for n=0..13.

FORMULA

Sum_{n>=0} a(n)/(2n)!*x^n = (1 - x)^(-1/x) / e.

a(n) = A055505(n)*(2n)! / A055535(n).

EXAMPLE

1 + 1/2!*x + 11/4!*x^2 + 315/6!*x^3 + 17129/8!*x^4 + 503475/10!*x^5 + ...

CROSSREFS

Cf. A055505, A055535.

Sequence in context: A233241 A266830 A266029 * A276977 A176285 A266484

Adjacent sequences:  A106824 A106825 A106826 * A106828 A106829 A106830

KEYWORD

nonn,frac

AUTHOR

Philippe Deléham, May 21 2005

STATUS

approved

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Last modified July 15 20:24 EDT 2019. Contains 325056 sequences. (Running on oeis4.)