A147292 - OEIS

A147292

Eigentriangle.

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

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OFFSET

0,4

COMMENTS

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

Right border = A007051 shifted.

Row sums are A007051.

LINKS

Table of n, a(n) for n=0..54.

FORMULA

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

EXAMPLE

First few rows of the triangle =

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).

CROSSREFS

Sequence in context: A121487 A057031 A230219 * A078391 A153206 A144155

Adjacent sequences: A147289 A147290 A147291 * A147293 A147294 A147295

KEYWORD

eigen,nonn,tabl

AUTHOR

Gary W. Adamson, Nov 05 2008

STATUS

approved