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A103437
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Sum_{i>=1} (i^n*Lucas(i)/2^i).
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2
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4, 22, 210, 2974, 56130, 1324222, 37489410, 1238235454, 46740118530, 1984855550782, 93653819396610, 4860878501987134, 275227990564092930, 16882335978752910142, 1115211301788480951810, 78930528072274523870014
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OFFSET
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0,1
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LINKS
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FORMULA
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a(n) = polylog(-n, (sqrt(5)+1)/4) + polylog(-n, (-sqrt(5)+1)/4).
E.g.f.: 2*exp(x)*(exp(x)+1)/(4-2*exp(x)-exp(2*x)). (End)
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MAPLE
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V:=2*exp(x)*(exp(x)+1)/(4-2*exp(x)-exp(2*x)):
S:= series(V, x, 51):
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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