0,4

Left column = odd indexed Fibonacci numbers prefaced with a 1.

Row sums = A007051: (1, 2, 5, 14, 41, 122, 365,...).

Right border = A007051 shifted.

Let M = an infinite lower triangular matrix with odd indexed Fibonacci numbers

in every column prefaced with a 1: (1, 1, 2, 5, 13, 34,...). Q = an infinite

lower triangular matrix with A007051 prefaced with a 1 as the main diagonal:

(1, 1, 2, 5, 14, 41, 122, 365, 1094,...); and the rest zeros.

A147292 = M * Q

First few rows of the triangle =

1;

1, 1;

2, 1, 2;

5, 2, 2, 5;

13, 5, 4, 5, 14;

34, 13, 10, 10, 14, 41;

89, 34, 26, 25, 28, 41, 122;

233, 89, 68, 65, 70, 82, 122, 365;

610, 233, 178, 170, 182, 205, 244, 365, 1094;

1597, 610, 466, 445, 476, 533, 610, 730, 1094, 3281;

4181, 1597, 1220, 1665, 1246, 1394, 1586, 1825, 2188, 3281, 9842;

10946, 4181, 3194, 3050, 3262, 3649, 4148, 4745, 5470, 6562, 9842, 29525;

...

Row 4 = (13, 5, 4, 5, 14) = termwise products of (13, 5, 2, 1, 1) and (1, 1, 2, 5, 14).

Cf. A007051

Sequence in context: A165195 A121487 A057031 this_sequence A078391 A153206 A144155

Adjacent sequences: A147289 A147290 A147291 this_sequence A147293 A147294 A147295

eigen,nonn,tabl

Gary W. Adamson (qntmpkt(AT)yahoo.com), Nov 05 2008