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Search: id:A075925
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| 1, 147, 13034, 907578, 54807627, 3016638009, 155726334148, 7676501248416, 365698066506773, 16976491006185711, 772549060467762942, 34614587429584922214, 1532054031119984651839, 67151990527665760714053
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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(6,m)*exp(7*(m+1)*x),m=0..5)/5!.
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FORMULA
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a(n)=A075502(n+6, 6)=(7^n)*S2(n+6, 6) with S2(n, m) := A008277(n, m) (Stirling2).
a(n)= sum(A075513(6, m)*((m+1)*7)^n, m=0..5)/5!.
G.f.: 1/product(1-7*k*x, k=1..6).
E.g.f.: diff((((exp(7*x)-1)/7)^6)/6!, x$6) = (-exp(7*x)+160*exp(14*x)-2430*exp(21*x)+10240*exp(28*x)-15625*exp(35*x)+7776*exp(42*x))/5!.
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CROSSREFS
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Cf. A075924, A076002.
Sequence in context: A122064 A063701 A020328 this_sequence A097729 A061154 A134212
Adjacent sequences: A075922 A075923 A075924 this_sequence A075926 A075927 A075928
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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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