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.

A167578 The third column of the ED3 array A167572.

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%I A167578 #5 Jun 16 2016 23:24:50
%S A167578 1,17,183,2043,26529,398025,6765975,128556675,2699661825,62092533825,
%T A167578 1552309291575,41912411683275,1215458905032225,37679245697871225,
%U A167578 1243414695550433175,43519523831289457875,1610222144582102522625
%N A167578 The third column of the ED3 array A167572.
%H A167578 G. C. Greubel, <a href="/A167578/b167578.txt">Table of n, a(n) for n = 1..150</a>
%F A167578 a(n) = (1/4)*(-1)^(n)*(2*n-7)!!*((8*n^4-20*n^3-22*n^2+55*n+12)+(32*n^5-80*n^4-80*n^3+200*n^2+18*n-45)*(sum((-1)^(k+n)/(2*k+1),k=0..n-1))).
%t A167578 Table[(1/4)*(-1)^(n)*(2*n - 7)!!*((8*n^4 - 20*n^3 - 22*n^2 + 55*n + 12) + (32*n^5 - 80*n^4 - 80*n^3 + 200*n^2 + 18*n - 45)*(Sum[(-1)^(k + n)/(2*k + 1), {k, 0, n - 1}])), {n, 1, 50}] (* _G. C. Greubel_, Jun 16 2016 *)
%Y A167578 Equals the third column of the ED3 array A167572.
%Y A167578 Other columns are A167576 and A167577.
%Y A167578 Cf. A007509 and A025547 (the sum((-1)^(k+n)/(2*k+1), k=0..n-1) factor).
%K A167578 easy,nonn
%O A167578 1,2
%A A167578 _Johannes W. Meijer_, Nov 10 2009