0,4

Row sums = A001333: (1, 1, 3, 7, 17, 41,...). Sum of n-th row terms = rightmost term of next row.

Let M = an infinite lower triangular Toeplitz matrix with A078008 (1, 0, 2, 2, 6, 10, 22, 42, 86, 170,...). Let Q = the eigensequence of that triangle prefaced with a 1: (1, 1, 1, 3, 7, 17,...) where A001333 = (1, 1, 3, 7, 17,...). The triangle = M * Q.

First few rows of the triangle =

1;

0, 1;

2, 0, 1;

2, 2, 0, 3;

6, 2, 2, 0, 7;

10, 6, 2, 6, 0, 17;

22, 10, 6, 6, 14, 0, 41;

42, 22, 10, 18, 14, 34, 0, 99;

86, 42, 22, 30, 42, 34, 82, 0, 239;

170, 86, 42, 66, 70, 102, 82, 198, 0, 577;

...

Example: row 4 = (6, 2, 2, 0, 7) = (6, 2, 2, 0, 1) * (1, 1, 1, 3, 7).

Cf. A078008, A001333

Sequence in context: A147767 A113678 A110249 this_sequence A145462 A159934 A067460

Adjacent sequences: A160753 A160754 A160755 this_sequence A160757 A160758 A160759

nonn,tabl

Gary W. Adamson (qntmpkt(AT)yahoo.com), May 25 2009