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 A201093 #6 Feb 22 2013 14:40:22
%S A201093 1,0,1,0,1,1,0,0,2,1,0,1,1,3,1,0,0,2,3,4,1,0,2,2,4,6,5,1,0,0,4,6,8,10,
%T A201093 6,1,0,5,5,9,13,15,15,7,1,0,0,10,15,20,25,26,21,8,1,0,14,14,24,34,41,
%U A201093 45,42,28,9,1
%N A201093 Triangle T(n,k), read by rows, given by (0,1,-1,-1,1,1,-1,-1,1,1,-1,-1,1,...) DELTA (1,0,0,0,0,0,0,0,0,0,0,...) where DELTA is the operator defined in A084938.
%C A201093 Riordan array (1,xf(x)) where f(x) is g.f. of A097331.
%C A201093 Row sums are in A001405.
%F A201093 Sum_{k, 0<=k<=n} T(n,k)*x^k = A000007(n), A001405(n), A098617(n) for x = 0,1,2 respectively.
%e A201093 Triangle begins :
%e A201093 1
%e A201093 0, 1
%e A201093 0, 1, 1
%e A201093 0, 0, 2, 1
%e A201093 0, 1, 1, 3, 1
%e A201093 0, 0, 2, 3, 4, 1
%e A201093 0, 2, 2, 4, 6, 5, 1
%e A201093 0, 0, 4, 6, 8, 10, 6, 1
%e A201093 0, 5, 5, 9, 13, 15, 15, 7, 1
%e A201093 0, 0, 10, 15, 20, 25, 26, 21, 8, 1
%e A201093 0, 14, 14, 24, 34, 41, 45, 42, 28, 9, 1
%e A201093 0, 0, 28, 42, 56, 70, 78, 77, 64, 36, 10, 1
%e A201093 0, 42, 42, 70, 98, 120, 136, 140, 126, 93, 45, 11, 1
%Y A201093 Cf. Diagonals : A000012, A001477, A000217, A000215,
%Y A201093 Columns :A000007, A097331, A089408
%K A201093 nonn,tabl
%O A201093 0,9
%A A201093 _Philippe Deléham_, Nov 26 2011