|
Search: id:A124572
|
|
|
| A124572 |
|
Sequence generated from a bidiagonal matrix, row sums = powers of 4. |
|
+0
2
|
|
| 1, 1, 3, 1, 12, 3, 1, 39, 15, 9, 1, 120, 54, 72, 9, 1, 363, 174, 378, 81, 27, 1, 1092, 537, 1656, 459, 324, 27, 1, 3279, 1629, 6579, 2115, 2349, 351, 81
(list; table; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
COMMENT
|
Diagonal terms are switched to generate A124573. Row sums = powers of 4.
|
|
FORMULA
|
As an infinite lower triangular matrix, A124572 = M^n * V, where M = the infinite bidiagonal matrix with (1,3,1,3,1,3...) in the main diagonal and (3,1,3,1,3,1...) in the subdiagonal.
|
|
EXAMPLE
|
Row 3 = (1, 39, 15, 9) since M^3 * V = (1, 39, 15, 9, 0, 0, 0...). First few rows of the triangle are:
1;
1, 3;
1, 12, 3;
1, 39, 15, 9;
1, 120, 54, 72, 9;
1, 363, 174, 378, 81, 27;
...
|
|
CROSSREFS
|
Cf. A124573.
Sequence in context: A002589 A048522 A118020 this_sequence A144880 A144881 A121420
Adjacent sequences: A124569 A124570 A124571 this_sequence A124573 A124574 A124575
|
|
KEYWORD
|
nonn,uned,tabl,more
|
|
AUTHOR
|
Gary W. Adamson & Roger L. Bagula (qntmpkt(AT)yahoo.com), Nov 04 2006
|
|
|
Search completed in 0.002 seconds
|
