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 A241202 #4 Apr 22 2014 10:50:21
%S A241202 1,2,26,9,149,489
%N A241202 Beginning of a polynomial relation of degree n in n+2 terms in the first half of Pascal's triangle. See A241201.
%C A241202 Is this sequence finite?
%t A241202 t = Table[k = 1; While[b = Binomial[k, Range[0, k/2]]; d = Differences[b, n + 1]; ! MemberQ[d, 0], k++]; {k, Position[d, 0, 1, 1][[1, 1]] - 1}, {n, 6}]; Transpose[t][[2]]
%Y A241202 Cf. A008865 (binomial(n,k) has 3 consecutive terms in a linear relation).
%Y A241202 Cf. A062730 (3 terms in arithmetic progression in Pascal's triangle).
%Y A241202 Cf. A241199, A241200 (similar, but quadratic).
%K A241202 nonn,more
%O A241202 1,2
%A A241202 _T. D. Noe_, Apr 21 2014