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 A141097 #4 Mar 30 2012 17:22:50
%S A141097 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,2,0,1,3,0,1,
%T A141097 0,0,3,3,0,0,3,0,3,2,0,3,4,0,1,2,1,4,5,0,0,3,1,5,5,0,4,6,0,5,2,0,7,6,
%U A141097 0,0,9,2,8,8,0,6,4,1,8,4,1,9,9,1,4,10,2,8,11,0,3,11,3,10,4,2,12,8,1,4,13,2
%N A141097 Number of unordered pairs of coprime composite numbers that sum to 2n.
%C A141097 See A141095 for pairs of coprime nonprime numbers. It appears that a(n) > 0 except for the 43 values of 2n given in A141098. Roberts says that A. M. Vaidya proved that a(n) > 0 for all sufficiently large n.
%D A141097 Joe Roberts, "Lure of the Integers", The Mathematical Association of America, 1992, p. 190.
%H A141097 T. D. Noe, <a href="/A141097/b141097.txt">Table of n, a(n) for n=1..10000</a>
%H A141097 Carlos Rivera, <a href="http://www.primepuzzles.net/conjectures/conj_033.htm">Conjecture 33: The Goldbach Temptation</a>
%e A141097 a(17)=1 because 34 = 9+25.
%t A141097 Table[cnt=0; Do[If[GCD[2n-i,i]==1 && !PrimeQ[i] && !PrimeQ[2n-i], cnt++ ], {i,3,n,2}]; cnt, {n,100}]
%Y A141097 Cf. A141099, A141100.
%K A141097 nonn
%O A141097 1,29
%A A141097 _T. D. Noe_, Jun 02 2008