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Search: id:A075511
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| 1, 42, 1064, 21168, 365232, 5743584, 84713728, 1193127936, 16239711488, 215394955776, 2800564795392, 35851775791104, 453374980255744, 5677724481773568, 70550796621971456, 871159544637161472
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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(2*(m+1)*x),m=0..5)/5!.
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FORMULA
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a(n)=A075497(n+6, 6)=(2^n)*S2(n+6, 6) with S2(n, m) := A008277(n, m) (Stirling2).
a(n)= sum(A075513(6, m)*((m+1)*2)^n, m=0..5)/5!.
G.f.: 1/product(1-2*k*x, k=1..6).
E.g.f.: diff((((exp(2*x)-1)/2)^6)/6!, x$6) = (-exp(2*x)+160*exp(4*x)-2430*exp(6*x)+10240*exp(8*x)-15625*exp(10*x)+7776*exp(12*x))/5!.
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CROSSREFS
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Cf. A075510, A075512.
Sequence in context: A020932 A036400 A050988 this_sequence A016094 A004361 A004373
Adjacent sequences: A075508 A075509 A075510 this_sequence A075512 A075513 A075514
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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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