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Search: id:A075911
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| 1, 30, 625, 11250, 188125, 3018750, 47265625, 728906250, 11133203125, 168996093750, 2554931640625, 38523925781250, 579858642578125, 8717878417968750, 130968170166015625, 1966522521972656250
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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(3,m)*exp(5*(m+1)*x),m=0..2)/2!.
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FORMULA
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a(n)=A075500(n+3, 3)=(5^n)*S2(n+3, 3) with S2(n, m) := A008277(n, m) (Stirling2).
a(n)= (5^n-8*10^n+9*15^n)/2.
G.f.: 1/product(1-5*k*x, k=1..3).
E.g.f.: diff((((exp(5*x)-1)/5)^3)/3!, x$3) = (exp(5*x)-8*exp(10*x)+9*exp(15*x))/2!.
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CROSSREFS
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Cf. A016164, A075912.
Sequence in context: A020975 A124099 A028258 this_sequence A001719 A004359 A001777
Adjacent sequences: A075908 A075909 A075910 this_sequence A075912 A075913 A075914
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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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