cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A145617 Numerator of the polynomial A_l(x) = sum_{d=1..l-1} x^(l-d)/d for index l=2n+1 evaluated at x=5.

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%I A145617 #11 Jun 05 2016 23:33:24
%S A145617 55,8365,209195,73218955,5491423277,1510141416085,490795960391965,
%T A145617 24539798019883535,10429414158454786655,4953971725266096561953,
%U A145617 11259026648332043641555,6473940322790925219990095
%N A145617 Numerator of the polynomial A_l(x) = sum_{d=1..l-1} x^(l-d)/d for index l=2n+1 evaluated at x=5.
%C A145617 For denominators see A145618. For general properties of A_l(x) see A145609.
%t A145617 m = 5; 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_ *)
%t A145617 a[n_,m_]:=Integrate[(m-x^n)/(m-x),{x,0,1}]+(m^n-m)Log[m/(m-1)]
%t A145617 Table[5 a[2 n, 5] // FullSimplify  // Numerator, {n,1,25}]  (* _Gerry Martens_ , Jun 04 2016 *)
%Y A145617 Cf. A145609 - A145640.
%K A145617 frac,nonn
%O A145617 1,1
%A A145617 _Artur Jasinski_, Oct 14 2008
%E A145617 Edited by _R. J. Mathar_, Aug 21 2009