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Search: id:A075920
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| 1, 168, 16632, 1270080, 82927152, 4878631296, 266658822144, 13809041326080, 686528482768128, 33073815190800384, 1554470788616718336, 71638807647968870400, 3249771974096785403904, 145542549641019667218432
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OFFSET
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0,2
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COMMENT
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The e.g.f. given below is sum(A075513(7,m)exp(6*(m+1)*x),m=0..6)/6!.
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FORMULA
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a(n)=A075501(n+7, 7)=(6^n)S2(n+7, 7) with S2(n, m) := A008277(n, m) (Stirling2).
a(n) = sum(A075513(7, m)*((m+1)*6)^n, m=0..6)/6!.
G.f.: 1/product(1-6*k*x, k=1..7).
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!.
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CROSSREFS
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Cf. A075919.
Sequence in context: A064767 A115222 A035827 this_sequence A076006 A130215 A008699
Adjacent sequences: A075917 A075918 A075919 this_sequence A075921 A075922 A075923
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KEYWORD
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nonn,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Oct 02 2002
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