Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A106827
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A106827 Numerators in expansion of (1 - x)^(-1/x) / e. +0
1
1, 1, 11, 315, 17129, 503475, 196385475, 35327367075, 8399994587985, 2550903574364145, 963207568455370875, 442613044315692124875, 243195136160954426677305, 157442856285298191126143625 (list; graph; listen)
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.

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: A070278 A090272 A090271 this_sequence A108274 A115609 A166053

Adjacent sequences: A106824 A106825 A106826 this_sequence A106828 A106829 A106830

KEYWORD

nonn,frac

AUTHOR

DELEHAM Philippe (kolotoko(AT)wanadoo.fr), May 21 2005

page 1

Search completed in 0.002 seconds

Lookup | Welcome | Find friends | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
More pages | Superseeker | Maintained by N. J. A. Sloane (njas@research.att.com)

Last modified December 18 21:37 EST 2009. Contains 171024 sequences.


AT&T Labs Research