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 A094456 #19 Mar 18 2023 16:49:34 %S A094456 1,0,1,0,1,2,0,1,5,5,0,1,10,22,14,0,1,19,70,93,42,0,1,36,201,421,386, %T A094456 132,0,1,69,559,1657,2324,1586,429,0,1,134,1548,6162,11836,12136,6476, %U A094456 1430,0,1,263,4316,22445,55843,76928,60948,26333,4862,0,1,520,12163,81451,254415,444666,467426,297335,106762,16796 %N A094456 Triangle T(n,k), 0<=k<=n, read by rows; given by [0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, ...] DELTA [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ...] where DELTA is the operator defined in A084938. %C A094456 Diagonals : A000007, A000012, A052944; A000108, A000346. %C A094456 Triangle : %C A094456 1; %C A094456 0, 1; %C A094456 0, 1, 2; %C A094456 0, 1, 5, 5; %C A094456 0, 1, 10, 22, 14; %C A094456 ... %C A094456 The alternating sum is (-1)^n = A033999(n). - _F. Chapoton_, Mar 18 2023 %H A094456 Alois P. Heinz, <a href="/A094456/b094456.txt">Rows n = 0..150, flattened</a> %F A094456 Sum_{k=0..n} T(n,k) = A090365(n). %Y A094456 Cf. A000108 (main diagonal), A033999, A084938, A090365 (row sums). %K A094456 nonn,tabl %O A094456 0,6 %A A094456 _Philippe Deléham_, Jun 04 2004