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.

A294517 Denominators of the partial sums of the reciprocals of (k+1)*(4*k+3) = A033991(k+1), for k >= 0.

This page as a plain text file.
%I A294517 #5 Nov 12 2017 14:45:57
%S A294517 3,42,154,4620,87780,672980,18170460,1126568520,1126568520,
%T A294517 14645390760,629751802680,29598334725960,503171690341320,
%U A294517 100634338068264,29687129730137880,59374259460275760,3978075383838475920,282443352252531790320,1412216761262658951600,111565124139750057176400,9259905303599254745641200
%N A294517 Denominators of the partial sums of the reciprocals of (k+1)*(4*k+3) = A033991(k+1), for k >= 0.
%C A294517 The corresponding numerators are given in A294516. See this for a reference, the definition of V(4,3;n), and the limit V(4,3).
%F A294517 a(n) = denominator(V(4,3;n)) with V(4,3;n) = Sum_{k=0..n} 1/((k + 1)*(4*k + 3)) = Sum_{k=0..n} 1/A033991(k+1) = Sum_{k=0..n} (4/(4*k + 3) - 1/(k+1)).
%e A294517 For the rationals V(4,3;n) and the limit V(4,3) see A294516.
%Y A294517 Cf. A294516.
%K A294517 nonn,frac,easy
%O A294517 0,1
%A A294517 _Wolfdieter Lang_, Nov 07 2017