1,15

Row sums = A052284 starting with offset 1: (1, 1, 1, 2, 3, 5, 7, 11, 17,...). As a property of eigentriangles, sum of n-th row terms = rightmost term of next row.

Triangle read by rows, A157423 * ((A052284 * 0^(n-k)). A157423 = an infinite lower triangular matrix with A005171 in every column. ((A052284 * 0^(n-k)) = an infinite lower triangular matrix with A052284: (1, 1, 1, 1, 2, 3, 5, 7, 11, 17, 27,...) as the main diagonal and the rest zeros.

First few rows of the triangle =

1;

0, 1;

0, 0, 1;

1, 0, 0, 1;

0, 1, 0, 0, 2;

1, 0, 1, 0, 0, 3;

0, 1, 0, 1, 0, 0, 5;

1, 0, 1, 0, 2, 0, 0, 7;

1, 1, 0, 1, 0, 3, 0, 0, 11;

1, 1, 1, 0, 2, 0, 5,0, 0, 17;

0, 1, 1, 1, 0, 3, 0, 7, 0, 0, 27;

1, 0, 1, 1, 2, 0, 5, 0, 11, 0, 0, 40;

0, 1, 0, 1, 2, 3, 0, 7, 0, 17, 0, 0, 61;

1, 0, 1, 0, 2, 3, 5, 0, 11, 0, 27, 0, 0, 92;

...

Example: row 5 = (0, 1, 0, 0, 2) = termwise products of (0, 1, 0, 0, 1) and

(1, 1, 1, 1, 2); where (0, 1, 0, 0, 2) = row 5 of triangle A157423 and

(1, 1, 1, 1, 2) = the first 5 terms of A052284.

Cf. A157423, A005171, A052284

Sequence in context: A128617 A116488 A145765 this_sequence A144961 A144627 A135929

Adjacent sequences: A157421 A157422 A157423 this_sequence A157425 A157426 A157427

nonn,tabl

Gary W. Adamson & Mats Granvik (qntmpkt(AT)yahoo.com), Feb 28 2009