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Search: id:A075914
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| 1, 105, 6650, 330750, 14266875, 560896875, 20682062500, 728227500000, 24779833203125, 821666548828125, 26708267167968750, 854772944238281250, 27023254648193359375, 846046877171630859375, 26282219820458984375000
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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(5*(m+1)*x),m=0..5)/5!.
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FORMULA
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a(n)=A075500(n+6, 6)=(5^n)*S2(n+6, 6) with S2(n, m) := A008277(n, m) (Stirling2).
a(n)= sum(A075513(6, m)*((m+1)*5)^n, m=0..5)/5!.
G.f.: 1/product(1-5*k*x, k=1..6).
E.g.f.: diff((((exp(5*x)-1)/5)^6)/6!, x$6) = (-exp(5*x)+160*exp(10*x)-2430*exp(15*x)+10240*exp(20*x)-15625*exp(25*x)+7776*exp(30*x))/5!.
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CROSSREFS
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Cf. A075913, A075915.
Sequence in context: A112490 A006361 A075350 this_sequence A075924 A094075 A018233
Adjacent sequences: A075911 A075912 A075913 this_sequence A075915 A075916 A075917
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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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