Search: id:A076011
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%I A076011
%S A076011 1,135,11340,765450,45605511,2511058725,131122437930,6597627438600,
%T A076011 323216347675221,15525889656392115,734898808902814920,
%U A076011 34399620992372494950,1596504028634137480131,73607593519321749694305
%N A076011 Fifth column of triangle A075504.
%C A076011 The e.g.f. given below is sum(A075513(5,m)*exp(9*(m+1)*x),m=0..4)/4!.
%F A076011 a(n)=A075504(n+5, 5)=(9^n)*S2(n+5, 5) with S2(n, m) := A008277(n, m) 
               (Stirling2).
%F A076011 a(n)= sum(A075513(5, m)*(9*(m+1))^n, m=0..4)/4!.
%F A076011 G.f.: 1/product(1-9*k*x, k=1..5).
%F A076011 E.g.f.: diff((((exp(9*x)-1)/9)^5)/5!, x$5) = (exp(9*x)-64*exp(18*x)+486*exp(27*x)-1024*exp(36*x)+625*exp(45*x\
               ))/4!.
%Y A076011 Cf. A076010, A076012.
%Y A076011 Sequence in context: A004005 A143404 A051028 this_sequence A132054 A106175 
               A051307
%Y A076011 Adjacent sequences: A076008 A076009 A076010 this_sequence A076012 A076013 
               A076014
%K A076011 nonn,easy
%O A076011 0,2
%A A076011 Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Oct 02, 
               2002

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