Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A060311
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A060311 E.g.f.: exp((exp(x)-1)^2/2). +0
1
1, 0, 1, 3, 10, 45, 241, 1428, 9325, 67035, 524926, 4429953, 40010785, 384853560, 3925008361, 42270555603, 478998800290, 5693742545445, 70804642315921, 918928774274028, 12419848913448565, 174467677050577515 (list; graph; listen)
OFFSET

0,4

COMMENT

After the first term, this is the Stirling transform of the sequence of moments of the standard normal (or "Gaussian") probability distribution. It is not itself a moment sequence of any probability distribution. - Michael Hardy (hardy(AT)math.umn.edu), May 29 2005

REFERENCES

I. P. Goulden and D. M. Jackson, Combinatorial Enumeration, John Wiley and Sons, N.Y., 1983.

FORMULA

E.g.f. A(x) = B(exp(x)-1) where B(x)=exp(x^2/2) is e.g.f. of A001147(2n), hence a(n) is the Stirling transform of A001147(2n). - Michael Somos Jun 01 2005

PROGRAM

(PARI) a(n)=if(n<0, 0, n!*polcoeff( exp((exp(x+x*O(x^n))-1)^2/2), n)) /* Michael Somos Jun 01 2005 */

CROSSREFS

Sequence in context: A096752 A134018 A028417 this_sequence A099237 A006220 A020026

Adjacent sequences: A060308 A060309 A060310 this_sequence A060312 A060313 A060314

KEYWORD

nonn

AUTHOR

Vladeta Jovovic (vladeta(AT)Eunet.yu), Mar 27 2001

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 July 26 13:41 EDT 2008. Contains 142293 sequences.


AT&T Labs Research