This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A133360 #22 Mar 16 2024 15:21:03 %S A133360 362880,16329600,419126400,8083152000,130456085760,1863435974400, %T A133360 24359586451200,297846188640000,3457819037312640,38528927611574400, %U A133360 415357755774998400,4358654246117808000,44733116259693227520 %N A133360 Number of surjections from an n-element set to a nine-element set. %H A133360 <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (45,-870,9450,-63273,269325,-723680,1172700,-1026576,362880). %F A133360 a(n) = Sum_{k=1..9} (-1)^(9-k)*binomial(9,k)*k^n. %F A133360 a(n) = A049447(n) * 9!. - _Max Alekseyev_, Nov 12 2009 %F A133360 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 %F A133360 E.g.f.: (exp(x) - 1)^9. - _Ilya Gutkovskiy_, Jun 19 2018 %Y A133360 Column k=9 of A131689. %Y A133360 Cf. A000918, A000919, A000920, A001117, A001118, A049447, A135456. %K A133360 nonn,easy %O A133360 9,1 %A A133360 _Mohamed Bouhamida_, Dec 21 2007 %E A133360 More terms from _Max Alekseyev_, Nov 12 2009