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.

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.

This page as a plain text file.
%I A145627 #9 Jun 05 2016 23:34:15
%S A145627 105,63215,1053605,2950094435,663771248638,1460296747017355,
%T A145627 135598983651622355,108479186921297959075,15367884813850544296195,
%U A145627 29198981146316034164367667,3406547800403537319177914415
%N 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.
%C A145627 For denominators see A145629. For general properties of A_l(x) see A145609.
%t A145627 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_ *)
%t A145627 a[n_,m_]:=Integrate[(m-x^n)/(m-x),{x,0,1}]+(m^n-m)Log[m/(m-1)]
%t A145627 Table[10 a[2 n, 10] // FullSimplify // Numerator, {n,1,25}] (* _Gerry Martens_ , Jun 04 2016*)
%Y A145627 Cf. A145609 - A145640.
%K A145627 frac,nonn
%O A145627 1,1
%A A145627 _Artur Jasinski_, Oct 14 2008
%E A145627 Edited by _R. J. Mathar_, Aug 21 2009