|
| |
|
|
A070908
|
|
Every fifth Bell number A000110.
|
|
0
| |
|
|
1, 52, 115975, 1382958545, 51724158235372, 4638590332229999353, 846749014511809332450147, 281600203019560266563340426570, 157450588391204931289324344702531067
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,2
|
|
|
FORMULA
| a(n)=A000110(5*n).
a(n) = EXP(-1)*sum(k=>0, k^(5n)/k!).
E.g.f.: exp(x*(d_z)^5)*(exp(exp(z)-1)) |_{z=0}, with the derivative operator d_z := d/dz. Adapted from eqs.(14) and (15) of the 1999 C. M. Bender reference given in A000110.
|
|
|
PROG
| (PARI) for(n=0, 50, print1(round(sum(i=0, 1000, i^(5*n)/(i)!)/exp(1)), ", "))
(Other) sage: [bell_number(5*n) for n in xrange(0, 9)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 15 2009]
|
|
|
CROSSREFS
| Sequence in context: A182924 A206388 A198525 * A198980 A198721 A198912
Adjacent sequences: A070905 A070906 A070907 * A070909 A070910 A070911
|
|
|
KEYWORD
| easy,nonn
|
|
|
AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), May 19 2002
|
| |
|
|
