%I A144106
%S A144106 1,2,1,0,2,3,4,0,6,5,4,4,0,10,7,4,4,12,0,14,9,12,4,12,20,0,18,11,
%T A144106 4,12,12,20,28,0,22,13,20,4,36,20,28,36,0,26,15,28,20,12,60,28,
%U A144106 36,44,0,30,17
%V 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,-20,0,18,11,
%W A144106 4,12,12,-20,-28,0,22,13,-20,4,36,20,-28,-36,0,26,15,-28,-20,12,60,28,
%X A144106 -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
%F A144106 triangular matrix with (1, 1, 3, 5, 7, 9,...) in the main diagonal and 
               the
%F A144106 rest zeros. A078050 is signed: (1, 2, 0, -4, -4, 4, 12, 4, -20, -28,...) 
               = the
%F A144106 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 A005408, Cf. A078050
%Y A144106 Sequence in context: A104770 A110280 A061009 this_sequence A104558 A115247 
               A122542
%Y A144106 Adjacent sequences: A144103 A144104 A144105 this_sequence A144107 A144108 
               A144109
%K A144106 tabl,sign
%O A144106 0,2
%A A144106 Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 11 2008