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 A119362 #8 Jun 16 2016 23:27:30
%S A119362 32,8,32,52,208,508,2672,9278,71168,258772,2448352,11401798,123001112,
%T A119362 660768362,7257835148,50721144013,643561620832,4610932367548,
%U A119362 57562797069608,547637465534282,7281278491404272,71412114145523938
%N A119362 Combinatorial twin prime formulas. This sequence gives the coefficients a(n) of combinatorial sum formulas of n-th twin primes or lesser: twin_prime(n) = 2^(n-6)/(n-1)! Sum_{i=1..n} a(i) * C(n-1,i-1) * (i+2-n).
%e A119362 twin_prime(10) = [ 2^(10-6)/(10-1)! ] * [ 32*C(10-1,0)*(-7) + 8*C(10-1,1)*(-6) + 32*C(10-1,2)*(-5) + ... + 9278*C(10-1,7)*(0) + 71168*C(10-1,8)*(1) + 258772*C(10-1,9)*(2) ] = 31
%t A119362 Mathematica 5.2 - webMathematica 2 - http://library.wolfram.com/webMathematica/Education/LongDivide.jsp
%Y A119362 Cf. A001097, A000040, A120315, A000166, A115298, A008275.
%K A119362 easy,nonn
%O A119362 1,1
%A A119362 _André F. Labossière_, Jul 24 2006