|
Search: id:A097867
|
|
|
| A097867 |
|
The n-th group (n>=0) of 9 consecutive terms are the entries, read by rows, of the 3 by 3 matrix A[n]=MA[n-1], where M is the 3 by 3 matrix [[0, 1, 0], [0, 0, 1], [1, 1, 0]] and A[0] is the 3 by 3 matrix [[0, 1, 1], [1, 1, 2], [1, 2, 2]]. |
|
+0
1
|
|
| 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 3, 1, 2, 2, 1, 2, 3, 2, 3, 4, 1, 2, 3, 2, 3, 4, 2, 4, 5, 2, 3, 4, 2, 4, 5, 3, 5, 7, 2, 4, 5, 3, 5, 7, 4, 7, 9, 3, 5, 7, 4, 7, 9, 5, 9, 12, 4, 7, 9, 5, 9, 12, 7, 12, 16, 5, 9, 12, 7, 12, 16, 9, 16, 21, 7, 12, 16, 9, 16, 21, 12, 21, 28, 9, 16, 21, 12, 21
(list; graph; listen)
|
|
|
OFFSET
|
0,6
|
|
|
EXAMPLE
|
Since MA[0]=[[1,1,2],[1,2,2],[1,2,3]), the 1-st group (following the 0-th group) of 9 terms are 1,1,2,1,2,2,1,2,3.
|
|
MAPLE
|
with(linalg): M:=matrix(3, 3, [0, 1, 0, 0, 0, 1, 1, 1, 0]): A[0]:=matrix(3, 3, [0, 1, 1, 1, 1, 2, 1, 2, 2]): for n from 1 to 11 do A[n]:=multiply(M, A[n-1]) od: seq(seq(seq(A[k][i, j], j=1..3), i=1..3), k=0..11);
|
|
CROSSREFS
|
Sequence in context: A109494 A088526 A074292 this_sequence A075344 A054350 A026606
Adjacent sequences: A097864 A097865 A097866 this_sequence A097868 A097869 A097870
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Aug 31 2004
|
|
EXTENSIONS
|
Edited by njas, May 20 2006
|
|
|
Search completed in 0.002 seconds
|
