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 A234145 #4 Dec 25 2013 02:38:39 %S A234145 1,1,9,3375,121550625,3101364196875,1730690595263722640625, %T A234145 376292999446907764908950466328125, %U A234145 16950118160085960270323673755750390625,90543986887356385297750500755391437150880164126953125 %N A234145 a(n) = denominator of sum_(k=1..n) 1/(2*k-1)^n. %C A234145 The sequence A234144(n)/A234145(n) is Theta(n, n), as defined by _Wolfdieter Lang_. %H A234145 Wolfdieter Lang, <a href="/A164655/a164655.pdf">Theta(k, n), k-family of rational sequences and limits.</a> %F A234145 a(n) = denominator of (2^n*Zeta(n) - Zeta(n) - Zeta(n, n+1/2))/2^n. %F A234145 a(n) = denominator of ((-1/2)^n*(PolyGamma(n-1, 1/2) - PolyGamma(n-1, n+1/2)))/(n-1)!. %F A234145 A234144(n) / A234145(n) ~ 1. %t A234145 a[n_] := Sum[1/(2*k-1)^n, {k, 1, n}] // Denominator; Table[a[n], {n, 0, 10}] %Y A234145 Cf. A164655, A164656, A234144 (numerators). %K A234145 nonn,frac,easy %O A234145 0,3 %A A234145 _Jean-François Alcover_, Dec 20 2013