|
| |
|
|
A007116
|
|
E.g.f. (1+x)^(exp(x)).
(Formerly M1634)
|
|
0
| |
|
|
1, 1, 2, 6, 18, 75, 295, 1575, 7196, 48993, 230413, 2164767, 8055938, 139431149, 70125991, 14201296057, -77573062280, 2389977322593, -28817693086263, 615493949444827, -10403976760589602, 215611836994976237
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,3
|
|
|
REFERENCES
| N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
|
|
|
FORMULA
| a(n):=sum(k=1..n, sum(i=0..n-k, binomial(n,i)*k^i*stirling1(n-i,k))), n>0, a(0)=1. [From Vladimir Kruchinin, Jun 01 2011]
|
|
|
MATHEMATICA
| With[{nn=25}, CoefficientList[Series[(1+x)^Exp[x], {x, 0, nn}], x] Range[ 0, nn]!] (* From Harvey P. Dale, Sep 21 2011 *)
|
|
|
PROG
| (Maxima)
a(n):=sum(sum(binomial(n, i)*k^i*stirling1(n-i, k), i, 0, n-k), k, 1, n); [From Vladimir Kruchinin, Jun 01 2011]
|
|
|
CROSSREFS
| Sequence in context: A022491 A004395 A006388 * A079391 A162058 A113844
Adjacent sequences: A007113 A007114 A007115 * A007117 A007118 A007119
|
|
|
KEYWORD
| sign,easy
|
|
|
AUTHOR
| Simon Plouffe (simon.plouffe(AT)gmail.com)
|
|
|
EXTENSIONS
| Definition and terms corrected, and more terms by Joerg Arndt, Jun 01 2011.
|
| |
|
|
