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%I #10 Oct 08 2022 00:01:59
%S 1,1,1,0,1,2,1,0,2,3,0,1,0,3,6,0,0,2,0,6,10,1,0,0,3,0,10,18,1,1,0,0,6,
%T 0,18,32,0,1,2,0,0,10,0,32,58,0,0,2,3,0,0,18,0,58,103,1,0,0,3,6,0,0,
%U 32,0,103,184,0,1,0,0,6,10,0,0,58,0,184,329,1,0,2,0,0,10,18,0,0,103,329,588
%N Eigentriangle by rows, T(n,k) = A010060(n-k+1)*A144026(k-1), 1 <= k <= n.
%C Left column = the Thue-Morse sequence A010060 starting with offset 1.
%C Right border = A144026: (1, 1, 2, 3, 6, 10, 18, ...).
%C Row sums = A144026: (1, 2, 3, 6, 10, 18, ...).
%C Sum of n-th row terms = rightmost term of next row.
%F Eigentriangle by rows, T(n,k) = A010060(n-k+1)*A144026(k-1), 1 <= k <= n.
%F The triangle is generated from the Thue-Morse sequence A010060 using offset 1:
%F (1, 1, 0, 1, 0, 0, 1, ...). A144026 is (1, 1, 2, 3, 6, 10, 18, ...).
%e First few rows of the triangle:
%e 1;
%e 1, 1;
%e 0, 1, 2;
%e 1, 0, 2, 3;
%e 0, 1, 0, 3, 6;
%e 0, 0, 2, 0, 6, 10;
%e 1, 0, 0, 3, 0, 10, 18;
%e 1, 1, 0, 0, 6, 0, 18, 32;
%e 0, 1, 2, 0, 0, 10, 0, 32, 58;
%e 0, 0, 2, 3, 0, 0, 18, 0, 58, 103;
%e 1, 0, 0, 3, 6, 0, 0, 32, 0, 103, 184;
%e ...
%e Row 4 = (1, 0, 2, 3) = termwise products of (1, 0, 1, 1) and (1, 1, 2, 3), where (1, 0, 1, 1) = the first 4 terms of A010060, reversed with offset 1.
%e (1, 1, 2, 3) = first 4 terms of A144026: (1, 1, 2, 3, 6, 10, 18, ...).
%Y Cf. A010060, A144026.
%K nonn,tabl
%O 1,6
%A _Gary W. Adamson_, Sep 07 2008
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