|
|
A276507
|
|
E.g.f.: exp(10*(exp(x)-1)).
|
|
3
|
|
|
1, 10, 110, 1310, 16710, 226510, 3243110, 48807310, 768988710, 12641850510, 216229931110, 3838516103310, 70569453740710, 1341065189434510, 26298323383739110, 531365183231239310, 11047184452086972710, 236029124143560378510, 5176602413033115467110
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
COMMENTS
|
Number of ways of placing n labeled balls into n unlabeled (but 10-colored) boxes.
|
|
LINKS
|
|
|
FORMULA
|
G.f.: A(x) satisfies 10*(x/(1-x))*A(x/(1-x)) = A(x)-1; ten times the binomial transform equals this sequence shifted one place left.
|
|
MAPLE
|
a:= proc(n) option remember; `if`(n=0, 1,
(1+add(binomial(n-1, k-1)*a(n-k), k=1..n-1))*10)
end:
|
|
MATHEMATICA
|
Table[BellB[n, 10], {n, 0, 30}]
|
|
PROG
|
(PARI) my(x='x+O('x^99)); Vec(serlaplace(exp(10*(exp(x)-1)))) \\ Altug Alkan, Sep 19 2016
|
|
CROSSREFS
|
Cf. similar sequences listed in A276506.
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|