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 A292129 #16 Dec 27 2023 12:22:31 %S A292129 1,0,-2,0,-2,0,-2,4,0,-2,4,0,-2,8,0,-2,8,-8,0,-2,12,-8,0,-2,12,-16,0, %T A292129 -2,16,-24,0,-2,16,-32,16,0,-2,20,-40,16,0,-2,20,-56,32,0,-2,24,-64, %U A292129 48,0,-2,24,-80,80,0,-2,28,-96,96,-32,0,-2,28,-112,144,-32,0 %N A292129 Triangle read by rows: T(n,k) = (-2) * T(n-k,k-1) + T(n-k,k) with T(0,0) = 1 for 0 <= k <= A003056(n). %H A292129 Seiichi Manyama, <a href="/A292129/b292129.txt">Rows n = 0..481, flattened</a> %e A292129 First few rows are: %e A292129 1; %e A292129 0, -2; %e A292129 0, -2; %e A292129 0, -2, 4; %e A292129 0, -2, 4; %e A292129 0, -2, 8; %e A292129 0, -2, 8, -8; %e A292129 0, -2, 12, -8; %e A292129 0, -2, 12, -16; %e A292129 0, -2, 16, -24; %e A292129 0, -2, 16, -32, 16. %Y A292129 Row sums give A070877. %Y A292129 Columns 0-1 give A000007, (-1)*A007395. %Y A292129 Cf. A003056, A291970. %K A292129 sign,tabf %O A292129 0,3 %A A292129 _Seiichi Manyama_, Sep 09 2017