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A145624
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Denominator of the polynomial A_l(x) = Sum_{d=1..l-1} x^(l-d)/d for index l=2n+1 evaluated at x=8.
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2
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1, 3, 15, 105, 315, 3465, 45045, 18018, 153153, 14549535, 14549535, 334639305, 1673196525, 5019589575, 145568097675, 18050444111700, 265447707525, 265447707525, 9821565178425, 9821565178425, 57526310330775
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OFFSET
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1,2
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COMMENTS
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For numerators see A145623. For general properties of A_l(x) see A145609.
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LINKS
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FORMULA
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Sum_{n >= 1} (A145623(n)/a(n))*x^n = (32*sqrt(x)*log((1+sqrt(x))/(1-sqrt(x))) - 4*log(1-x))/(1-64*x). - Robert Israel, Mar 09 2016
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MAPLE
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G:= (32*sqrt(x)*ln((1-sqrt(x))/(1+sqrt(x))) + 4*ln(1-x))/(64*x-1):
S:=series(G, x, 101):
seq(denom(coeff(S, x, n)), n=1..100); # Robert Israel, Mar 09 2016
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MATHEMATICA
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m = 8; aa = {}; Do[k = 0; Do[k = k + m^(2 r + 1 - d)/d, {d, 1, 2 r}]; AppendTo[aa, Denominator[k]], {r, 1, 30}]; aa (* Artur Jasinski, Oct 14 2008 *)
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CROSSREFS
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KEYWORD
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frac,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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