A133360 - OEIS

A133360

Number of surjections from an n-element set to a nine-element set.

362880, 16329600, 419126400, 8083152000, 130456085760, 1863435974400, 24359586451200, 297846188640000, 3457819037312640, 38528927611574400, 415357755774998400, 4358654246117808000, 44733116259693227520

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OFFSET

9,1

LINKS

Table of n, a(n) for n=9..21.

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.

Cf. A000918, A000919, A000920, A001117, A001118, A049447, A135456.

Sequence in context: A045511 A029577 A179967 * A254082 A228912 A213871

Adjacent sequences: A133357 A133358 A133359 * A133361 A133362 A133363

KEYWORD

nonn,easy

AUTHOR

Mohamed Bouhamida, Dec 21 2007

EXTENSIONS

More terms from Max Alekseyev, Nov 12 2009

STATUS

approved

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