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A147292 Eigentriangle. 2
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 (list; table; graph; refs; listen; history; text; internal format)
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, 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

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Last modified October 22 22:22 EDT 2020. Contains 337962 sequences. (Running on oeis4.)