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 A133360 Number of surjections from an n-element set to a nine-element set. 0
 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((-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 CROSSREFS Cf. A000918, A000919, A000920, A001117, A001118, 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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Last modified July 4 23:17 EDT 2022. Contains 355086 sequences. (Running on oeis4.)