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 A144106 #6 Apr 18 2013 09:54:31 %S A144106 1,2,1,0,2,3,-4,0,6,5,-4,-4,0,10,7,4,-4,12,0,14,9,12,4,-12,-20,0,18, %T A144106 11,4,12,12,-20,-28,0,22,13,-20,4,36,20,-28,-36,0,26,15,-28,-20,12,60, %U A144106 28,-36,-44,0,30,17 %N A144106 Eigentriangle, row sums = (2n + 1). %C A144106 Sum of n-th row terms = rightmost term of next row. %F A144106 Eigentriangle by rows, T(n,k) = A078050(n-k) * X; where X = an infinite lower triangular matrix with (1, 1, 3, 5, 7, 9,...) in the main diagonal and the rest zeros. A078050 is signed: (1, 2, 0, -4, -4, 4, 12, 4, -20, -28,...) = the INVERTi transform of the odd numbers: (1, 3, 5, 7,...). %e A144106 First few rows of the triangle = %e A144106 1; %e A144106 2, 1; %e A144106 0, 2, 3; %e A144106 -4, 0, 6, 5; %e A144106 -4, -4, 0, 10, 7; %e A144106 4, -4, -12, 0, 14, 9; %e A144106 12, 4, -12, -20, 0, 18, 11; %e A144106 4, 12, 12, -20, -28, 0, 22, 13; %e A144106 -20, 4, 36, 20, -28, -36, 0, 26, 15; %e A144106 ... %e A144106 Row 3 = (-4, 0, 6, 5) = (-4*1, 0*1, 3*2, 5*1) = termwise product of (-4, 0, 2, 1) and (1, 1, 3, 5); where (-4, 0, 2, 1) = the first 4 terms of signed A078050 (reversed). %Y A144106 Cf. A005408, A078050. %K A144106 tabl,sign %O A144106 0,2 %A A144106 _Gary W. Adamson_, Sep 11 2008