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 A175712 #7 Mar 12 2014 16:37:16
%S A175712 0,1,1,2,3,5,8,13,21,33,54,79,133,176,309,365,674,709,1383,1300,2683,
%T A175712 2267,4950,3785,8735,6085,14820,9465,24285,14302,38587
%N A175712 The third column of the Lucas Fibonacci sum of binomials A175685.
%F A175712 a(n) = A175685(n,3), n>=1 .
%t A175712 Table[Sum[Binomial[n - j - 1, j], {j, Floor[(n - 1)/2] - 3, Floor[(
%t A175712 n - 1)/2]}], {n, 0, 30}]
%Y A175712 Cf. A000045, A175685, A175686.
%K A175712 nonn
%O A175712 0,4
%A A175712 _Roger L. Bagula_, Dec 04 2010