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A145627 Numerator of the polynomial A_l(x) = sum_{d=1..l-1} x^(l-d)/d for index l=2n+1 evaluated at x=10. 1
105, 63215, 1053605, 2950094435, 663771248638, 1460296747017355, 135598983651622355, 108479186921297959075, 15367884813850544296195, 29198981146316034164367667, 3406547800403537319177914415 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

For denominators see A145629. For general properties of A_l(x) see A145609.

LINKS

Table of n, a(n) for n=1..11.

MATHEMATICA

m = 10; 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[10 a[2 n, 10] // FullSimplify // Numerator, {n, 1, 25}] (* Gerry Martens , Jun 04 2016*)

CROSSREFS

Cf. A145609 - A145640.

Sequence in context: A275461 A054862 A028917 * A305146 A304644 A171116

Adjacent sequences:  A145624 A145625 A145626 * A145628 A145629 A145630

KEYWORD

frac,nonn

AUTHOR

Artur Jasinski, Oct 14 2008

EXTENSIONS

Edited by R. J. Mathar, Aug 21 2009

STATUS

approved

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Last modified September 23 02:41 EDT 2021. Contains 347609 sequences. (Running on oeis4.)