|
| |
|
|
A003727
|
|
E.g.f. exp( x * cosh(x) ).
(Formerly M3462)
|
|
0
|
|
|
|
1, 1, 1, 4, 13, 36, 181, 848, 3865, 23824, 140521, 871872, 6324517, 44942912, 344747677, 2860930816, 23853473329, 213856723200, 1996865965009, 19099352929280, 193406280000061, 2010469524579328, 21615227339380357, 242177953175506944
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,4
|
|
|
REFERENCES
|
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
|
|
|
LINKS
|
Table of n, a(n) for n=0..23.
Vladimir Kruchinin, Compositae and their properties , arXiv:1103.2582~
|
|
|
FORMULA
|
a(n):=sum(if n=k then n! else 1/2^k*sum(binomial(n,k)*binomial(k,i)*(k-2*i)^(n-k),i,0,k),k,1,n), n>0. [From Vladimir Kruchinin, Aug 22 2010]
|
|
|
PROG
|
(Maxima) a(n):=sum(if n=k then n! else 1/2^k*sum(binomial(n, k)*binomial(k, i)*(k-2*i)^(n-k), i, 0, k), k, 1, n); [From Vladimir Kruchinin, Aug 22 2010]
(PARI)
x='x+O('x^66);
Vec(serlaplace(exp( x * cosh(x) )))
/* Joerg Arndt, Sep 14 2012 */
|
|
|
CROSSREFS
|
Sequence in context: A067635 A222425 A222189 * A103082 A048474 A054761
Adjacent sequences: A003724 A003725 A003726 * A003728 A003729 A003730
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
R. H. Hardin
|
|
|
EXTENSIONS
|
Extended and formatted Mar 15 1997 by Olivier Gerard
|
|
|
STATUS
|
approved
|
| |
|
|
