|
Search: id:A124573
|
|
| |
|
| 1, 3, 1, 9, 4, 3, 27, 13, 21, 3, 81, 40, 102, 24, 9, 243, 121, 426, 126, 99, 9, 729, 364, 1641, 552, 675, 108, 27, 2187, 1093, 6015, 2193, 3681, 783, 405, 27
(list; table; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
Companion triangle A124572 is generated by switching the main diagonal with the subdiagonal.
|
|
FORMULA
|
The triangle rows are generated from M^n * V, where M = the infinite bidiagonal matrix with (3,1,3,1,3,1...) in the main diagonal and (1,3,1,3,1,3...) in the subdiagonal. V = the infinite vector [1,0,0,0...].
|
|
EXAMPLE
|
Row 3 = (27, 13, 21, 3) since M^3 * V = [17, 13, 21, 3, 0, 0, 0...].
First few rows of the triangle are:
1;
3, 1;
9, 4, 3;
27, 13, 21, 3;
81, 40, 102, 24, 9;
243, 121, 426, 126, 99, 9;
...
|
|
CROSSREFS
|
Cf. A124572.
Sequence in context: A140071 A067417 A016577 this_sequence A127550 A021317 A091579
Adjacent sequences: A124570 A124571 A124572 this_sequence A124574 A124575 A124576
|
|
KEYWORD
|
nonn,uned,tabl
|
|
AUTHOR
|
Gary W. Adamson & Roger L. Bagula (qntmpkt(AT)yahoo.com), Nov 04 2006
|
|
|
Search completed in 0.002 seconds
|
