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Search: id:A076012
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| 1, 189, 21546, 1928934, 149767947, 10598527863, 703442942532, 44583546335328, 2730727849782933, 162985193544670497, 9536099260315021758, 549348981049383669882, 31261349005300855653759
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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(9*(m+1)*x),m=0..5)/5!.
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FORMULA
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a(n)=A075504(n+6, 6)=(9^n)*S2(n+6, 6) with S2(n, m) := A008277(n, m) (Stirling2).
a(n)= sum(A075513(6, m)*((m+1)*9)^n, m=0..5)/5!.
G.f.: 1/product(1-9*k*x, k=1..6).
E.g.f.: diff((((exp(9*x)-1)/9)^6)/6!, x$6) = (-exp(9*x)+160*exp(18*x)-2430*exp(27*x)+10240*exp(36*x)-15625*exp(45*x)+7776*exp(54*x))/5!.
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CROSSREFS
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Cf. A076011, A076013.
Sequence in context: A031901 A076759 A133351 this_sequence A092136 A156741 A138730
Adjacent sequences: A076009 A076010 A076011 this_sequence A076013 A076014 A076015
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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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