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A133360
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Number of surjections from an n-element set to a nine-element set.
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0
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362880, 16329600, 419126400, 8083152000, 130456085760, 1863435974400, 24359586451200, 297846188640000, 3457819037312640, 38528927611574400, 415357755774998400, 4358654246117808000, 44733116259693227520
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OFFSET
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9,1
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LINKS
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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).
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FORMULA
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a(n)=sum((-1)^(9-k)*C(9,k)*k^n) with n>=9 and k=9,8,...,1.
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
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CROSSREFS
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Cf. A000918, A000919, A000920, A001117, A001118, A135456.
Sequence in context: A045511 A029577 A179967 * A254082 A228912 A213871
Adjacent sequences: A133357 A133358 A133359 * A133361 A133362 A133363
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KEYWORD
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nonn,easy
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AUTHOR
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Mohamed Bouhamida, Dec 21 2007
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EXTENSIONS
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More terms from Max Alekseyev, Nov 12 2009
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STATUS
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approved
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