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A145619 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. 1
39, 2835, 255191, 257233353, 2315100338, 1833559470601, 429052916136639, 123567239847463143, 56717363089986833887, 2586311756903401044465, 46553611624261219442817, 154185561699553158848604845 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

For denominators see A145620. For general properties of A_l(x) see A145609.

LINKS

Table of n, a(n) for n=1..12.

MATHEMATICA

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 *)

CROSSREFS

Cf. A145609 - A145640.

Sequence in context: A319490 A327589 A176073 * A027490 A323688 A266453

Adjacent sequences:  A145616 A145617 A145618 * A145620 A145621 A145622

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 21 17:46 EDT 2019. Contains 327273 sequences. (Running on oeis4.)