|
| |
|
|
A147292
|
|
Eigentriangle, row sums = A007051
|
|
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; internal format)
|
|
|
|
OFFSET
| 0,4
|
|
|
COMMENTS
| Left column = odd indexed Fibonacci numbers prefaced with a 1.
Row sums = A007051: (1, 2, 5, 14, 41, 122, 365,...).
Right border = A007051 shifted.
|
|
|
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
| Cf. A007051
Sequence in context: A165195 A121487 A057031 * A078391 A153206 A144155
Adjacent sequences: A147289 A147290 A147291 * A147293 A147294 A147295
|
|
|
KEYWORD
| eigen,nonn,tabl
|
|
|
AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Nov 05 2008
|
| |
|
|
