1,6

Left column = the Thue-Morse sequence A010060 starting with offset 1.

Right border = A144026 shifted: (1, 1, 2, 3, 6, 10, 18,...).

Row sums = A144026: (1, 2, 3, 6, 10, 18,...).

Sum of n-th row terms = rightmost term of next row.

Eigentriangle by rows, T(n,k) = A010060(n-k+1)*A144026(k-1), 1<=k<=n.

The triangle is generated from the Thue-Morse sequence A010060 using offset 1:

(1, 1, 0, 1, 0, 0, 1,...). A144026 is shifted to (1, 1, 2, 3, 6, 10, 18,...).

The first few rows of the triangle =

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, 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, 32, 0, 103, 184;

...

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.

(1, 1, 2, 3) = first 4 terms of A144026 shifted: (1, 1, 2, 3, 6, 10, 18,...).

A010060, Cf. 144026

Sequence in context: A161515 A145580 A144219 this_sequence A019591 A091967 A031135

Adjacent sequences: A144024 A144025 A144026 this_sequence A144028 A144029 A144030

nonn,tabl

Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 07 2008