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Search: id:A075917
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| 1, 60, 2340, 75600, 2204496, 60419520, 1591202880, 40800672000, 1027086863616, 25522067450880, 628349082117120, 15366613964083200, 373968813041012736, 9068526888588656640, 219326169845571010560
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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(4,m)*exp(6*(m+1)*x),m=0..3)/3!.
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FORMULA
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a(n)=A075501(n+4, 4)=(6^n)*S2(n+4, 4) with S2(n, m) := A008277(n, m) (Stirling2).
a(n)= sum(A075513(4, m)*((m+1)*6)^n, m=0..3)/3!.
G.f.: 1/product(1-6*k*x, k=1..4).
E.g.f.: diff((((exp(6*x)-1)/6)^4)/4!, x$4) = (-exp(6*x)+24*exp(12*x)-81*exp(18*x)+64*exp(24*x))/3!.
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CROSSREFS
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Cf. A075916, A075918.
Sequence in context: A075908 A130647 A062263 this_sequence A058929 A057848 A082670
Adjacent sequences: A075914 A075915 A075916 this_sequence A075918 A075919 A075920
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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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