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A133360 Number of surjections from an n-element set to a nine-element set. 2
362880, 16329600, 419126400, 8083152000, 130456085760, 1863435974400, 24359586451200, 297846188640000, 3457819037312640, 38528927611574400, 415357755774998400, 4358654246117808000, 44733116259693227520 (list; graph; refs; listen; history; text; internal format)
OFFSET
9,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (45,-870,9450,-63273,269325,-723680,1172700,-1026576,362880).
FORMULA
a(n) = Sum_{k=1..9} (-1)^(9-k)*binomial(9,k)*k^n.
a(n) = A049447(n) * 9!. - Max Alekseyev, Nov 12 2009
G.f.: -362880*x^9/((x-1)*(2*x-1)*(3*x-1)*(4*x-1)*(5*x-1)*(6*x-1)*(7*x-1)*(8*x-1)*(9*x-1)). - Colin Barker, Oct 25 2012
E.g.f.: (exp(x) - 1)^9. - Ilya Gutkovskiy, Jun 19 2018
CROSSREFS
Column k=9 of A131689.
Sequence in context: A045511 A029577 A179967 * A254082 A228912 A213871
KEYWORD
nonn,easy,changed
AUTHOR
Mohamed Bouhamida, Dec 21 2007
EXTENSIONS
More terms from Max Alekseyev, Nov 12 2009
STATUS
approved

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Last modified March 28 07:20 EDT 2024. Contains 371235 sequences. (Running on oeis4.)