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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
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:
seq(a(n), n=0..25); # Alois P. Heinz, Sep 25 2017
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.
Sequence in context: A264915 A289414 A143749 * A049398 A055530 A108487
KEYWORD
nonn
AUTHOR
Vincenzo Librandi, Sep 19 2016
STATUS
approved