Search: id:A075920
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%I A075920
%S A075920 1,168,16632,1270080,82927152,4878631296,266658822144,13809041326080,
%T A075920 686528482768128,33073815190800384,1554470788616718336,
%U A075920 71638807647968870400,3249771974096785403904,145542549641019667218432
%N A075920 Seventh column of triangle A075501.
%C A075920 The e.g.f. given below is sum(A075513(7,m)exp(6*(m+1)*x),m=0..6)/6!.
%F A075920 a(n)=A075501(n+7, 7)=(6^n)S2(n+7, 7) with S2(n, m) := A008277(n, m) (Stirling2).
%F A075920 a(n) = sum(A075513(7, m)*((m+1)*6)^n, m=0..6)/6!.
%F A075920 G.f.: 1/product(1-6*k*x, k=1..7).
%F A075920 E.g.f.: diff((((exp(6*x)-1)/6)^7)/7!, x, 7) = (exp(6*x)-384*exp(12*x)+10935*exp(18*x)-81920*exp(24*x)+234375*\
               exp(30x)-279936*exp(36*x)+117649*exp(42*x))/6!.
%Y A075920 Cf. A075919.
%Y A075920 Sequence in context: A064767 A115222 A035827 this_sequence A076006 A130215 
               A146200
%Y A075920 Adjacent sequences: A075917 A075918 A075919 this_sequence A075921 A075922 
               A075923
%K A075920 nonn,easy
%O A075920 0,2
%A A075920 Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Oct 02 
               2002

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