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.
%I A145611 #15 Jun 05 2016 23:32:48 %S A145611 5,131,1327,148969,89422,7869871,204620705,32739453941,556571247527, %T A145611 42299423848079,84598851790183,31132377803126339,155661889412050564, %U A145611 3735885348093583561,216681350219210744683,429895798848743086730197 %N A145611 Numerator of the polynomial A_l(x) = sum_{d=1..l-1} x^(l-d)/d for index l=2n+1 evaluated at x=2. %C A145611 For denominators see A145612. For general properties of A_l(x) see A145609. %p A145611 A := proc(l,x) add(x^(l-d)/d,d=1..l-1) ; end: A145611 := proc(n) numer( A(2*n+1,2)) ; end: seq(A145611(n),n=1..20) ; # _R. J. Mathar_, Aug 21 2009 %t A145611 m = 2; 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_, Oct 14 2008 *) %t A145611 a[n_,m_]:=Integrate[(m-x^n)/(m-x),{x,0,1}]+(m^n-m)Log[m/(m-1)] %t A145611 Table[2 a[2 n, 2] // Simplify // Numerator, {n,1,25}] (* _Gerry Martens_ , Jun 04 2016 *) %Y A145611 Cf. A145609 - A145640. %K A145611 frac,nonn %O A145611 1,1 %A A145611 _Artur Jasinski_, Oct 14 2008 %E A145611 Edited by _R. J. Mathar_, Aug 21 2009