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Search: id:A016164
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| A016164 |
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Expansion of 1/((1-5x)(1-10x)). |
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+0
4
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| 1, 15, 175, 1875, 19375, 196875, 1984375, 19921875, 199609375, 1998046875, 19990234375, 199951171875, 1999755859375, 19998779296875, 199993896484375, 1999969482421875, 19999847412109375, 199999237060546875
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OFFSET
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0,2
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FORMULA
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a(n)= (5^n)*stirling2(n+2, 2), n>=0, with stirling2(n, m)=A008277(n, m).
a(n)= -5^n+2*10^n.
G.f.: 1/((1-5*x)*(1-10*x)). E.g.f.: diff((((exp(5*x)-1)/5)^2)/2!, x$2) = -exp(5*x)+2*exp(10*x).
Sum(5^(k-1)*5^(n-k)*binomial(n, k),k=1..n). - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Sep 24 2006
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CROSSREFS
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Second column of triangle A075500.
Cf. A075911.
Sequence in context: A107395 A036083 A051588 this_sequence A000482 A069379 A120995
Adjacent sequences: A016161 A016162 A016163 this_sequence A016165 A016166 A016167
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KEYWORD
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nonn
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AUTHOR
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njas
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