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 A200659 #11 Feb 22 2013 14:40:22
%S A200659 1,1,1,3,4,1,13,21,9,1,71,132,76,16,1,461,955,670,200,25,1,3447,7782,
%T A200659 6309,2374,435,36,1,29093,70441,63833,28413,6713,833,49,1,273343,
%U A200659 701352,694500,351512,99868,16240,1456,64,1
%N A200659 Triangle T(n,k), read by rows, given by (1,2,2,3,3,4,4,5,5,6,6,...) DELTA (1,0,1,0,1,0,1,0,1,0,1,0,1,...) where DELTA is the operator defined in A084938.
%F A200659 Sum_{k, 0<=k<=n} T(n,k)*x^k = A153881(n+1), A000007(n), A003319(n), A111537(n), A111546(n), A111556(n), A177354(n-1) for x = -2,-1,0,1,2,3,4 respectively.
%F A200659 Sum_ {k, 0<=k<=n} T(n,k)*x^(n-k) = A000012(n), A111537(n), A167872(n) for x = 0,1,2 respectively.
%F A200659 T(k+1,k)=(k+1)^2.
%e A200659 Triangle begins :
%e A200659 1
%e A200659 1, 1
%e A200659 3, 4, 1
%e A200659 13, 21, 9, 1
%e A200659 71, 132, 76, 16, 1
%e A200659 461, 955, 670, 200, 25, 1
%e A200659 3447, 7782, 6309, 2374, 435, 36, 1
%e A200659 29093, 70441, 63833, 28413, 6713, 833, 49, 1
%e A200659 273343, 701352, 694500, 351512, 99868, 16240, 1456, 64, 1
%Y A200659 Cf. A111537, A111546, A111556, A167872
%K A200659 nonn,tabl
%O A200659 0,4
%A A200659 _Philippe Deléham_, Nov 20 2011