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Search: id:A075907
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| 1, 40, 1040, 22400, 435456, 7956480, 139694080, 2387968000, 40075329536, 663887544320, 10896534405120, 177653730508800, 2882307270639616, 46596186764738560, 751299029274460160, 12089975328525516800
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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(4*(m+1)*x),m=0..3)/3!.
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FORMULA
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a(n)=A075499(n+4, 4)=(4^n)*S2(n+4, 4) with S2(n, m) := A008277(n, m) (Stirling2).
a(n)= (-4^n+24*8^n-81*12^n+64*16^n)/3!.
G.f.: 1/product(1-4*k*x, k=1..4).
E.g.f.: diff((((exp(4*x)-1)/4)^4)/4!, x$4) = (-exp(4*x)+24*exp(8*x)-81*exp(12*x)+64*exp(16*x))/3!.
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CROSSREFS
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Cf. A019677, A075908.
Sequence in context: A016092 A028228 A165380 this_sequence A062143 A124100 A071952
Adjacent sequences: A075904 A075905 A075906 this_sequence A075908 A075909 A075910
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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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