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 A292142 #14 Sep 17 2017 03:57:20 %S A292142 1,0,-4,0,-4,0,-4,-4,0,-4,-4,0,-4,-8,0,-4,-8,16,0,-4,-12,16,0,-4,-12, %T A292142 32,0,-4,-16,48,0,-4,-16,64,16,0,-4,-20,80,16,0,-4,-20,112,32,0,-4, %U A292142 -24,128,48,0,-4,-24,160,80,0,-4,-28,192,96,-64,0,-4,-28,224,144 %N A292142 Triangle read by rows: T(n,k) = (-4)^(k mod 2) * T(n-k,k-1) + T(n-k,k) with T(0,0) = 1 for 0 <= k <= A003056(n). %H A292142 Seiichi Manyama, <a href="/A292142/b292142.txt">Rows n = 0..481, flattened</a> %e A292142 First few rows are: %e A292142 1; %e A292142 0, -4; %e A292142 0, -4; %e A292142 0, -4, -4; %e A292142 0, -4, -4; %e A292142 0, -4, -8; %e A292142 0, -4, -8, 16; %e A292142 0, -4, -12, 16; %e A292142 0, -4, -12, 32; %e A292142 0, -4, -16, 48; %e A292142 0, -4, -16, 64, 16. %Y A292142 Row sums give A292135. %Y A292142 Columns 0-1 give A000007, (-4)*A000012. %Y A292142 Cf. A292047. %K A292142 sign,tabf %O A292142 0,3 %A A292142 _Seiichi Manyama_, Sep 09 2017