1,4

As a property of eigentriangles, sum of n-th row terms = rightmost term of next row. Right border = A158943 prefaced with a 1: (1, 1, 1, 3, 5, 10, 19, 36, 69,...).

Triangle read by rows, A158944 * an infinite matrix with A158943 (prefaced with a 1) as the right border: (1, 1, 1, 3, 5, 10, 19, 36,...) and the rest zeros.

First few rows of the triangle =

1;

0, 1;

2, 0, 1;

0, 2, 0, 3;

3, 0, 2, 0, 5;

0, 3, 0, 6, 0, 10;

4, 0, 3, 0, 10, 0, 19;

0, 4, 0, 9, 0, 20, 0, 36;

5, 0, 4, 0, 15, 0, 38, 0, 69;

0, 5, 0, 12, 0, 30, 0, 72, 0, 131;

6, 0, 5, 0, 20, 0, 57, 0, 138, 0, 250;

0, 6, 0, 15, 0, 40, 0, 108, 0, 262, 0, 476;

7, 0, 6, 0, 25, 0, 76, 0, 207, 0, 500, 0, 907;

...

Row 5 = (3, 0, 2, 0, 5) = termwise products of (3, 0, 2, 0, 1) and (1, 1, 1, 3, 5); where (3, 0, 2, 0, 1) = row 5 of triangle A158944.

A158943, A158944

Sequence in context: A144764 A084929 A054014 this_sequence A156667 A110914 A127505

Adjacent sequences: A158942 A158943 A158944 this_sequence A158946 A158947 A158948

nonn,tabl

Gary W. Adamson (qntmpkt(AT)yahoo.com), Mar 31 2009