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Search: id:A075512
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| 1, 56, 1848, 47040, 1023792, 20076672, 365787136, 6314147840, 104637781248, 1680323893248, 26325099300864, 404403166003200, 6115019304300544, 91287994741981184, 1348582723009708032
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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(2*(m+1)*x),m=0..6)/6!.
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FORMULA
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a(n)=A075497(n+7, 7)=(2^n)*S2(n+7, 7) with S2(n, m) := A008277(n, m) (Stirling2).
a(n)= sum(A075513(7, m)*((m+1)*2)^n, m=0..6)/6!.
G.f.: 1/product(1-2*k*x, k=1..7).
E.g.f.: diff((((exp(2*x)-1)/2)^7)/7!, x$7) = (exp(2*x)-384*exp(4*x)+10935*exp(6*x)-81920*exp(8*x)+234375*exp(10*x)-279936*exp(12*x)+117649*exp(14*x))/6!.
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CROSSREFS
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Cf. A075511.
Sequence in context: A017719 A050989 A140406 this_sequence A000504 A130646 A038649
Adjacent sequences: A075509 A075510 A075511 this_sequence A075513 A075514 A075515
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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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