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A145619
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Numerator of the polynomial A_l(x) = sum_{d=1..l-1} x^(l-d)/d for index l=2n+1 evaluated at x=6.
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1
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39, 2835, 255191, 257233353, 2315100338, 1833559470601, 429052916136639, 123567239847463143, 56717363089986833887, 2586311756903401044465, 46553611624261219442817, 154185561699553158848604845
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OFFSET
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1,1
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COMMENTS
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For denominators see A145620. For general properties of A_l(x) see A145609.
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LINKS
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MATHEMATICA
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m = 6; aa = {}; Do[k = 0; Do[k = k + m^(2 r + 1 - d)/d, {d, 1, 2 r}]; AppendTo[aa, Numerator[k]], {r, 1, 25}]; aa (* Artur Jasinski *)
a[n_, m_]:=Integrate[(m-x^n)/(m-x), {x, 0, 1}]+(m^n-m)Log[m/(m-1)]
Table[6 a[2 n, 6] // FullSimplify // Numerator, {n, 1, 25}] (* Gerry Martens , Jun 04 2016 *)
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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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