A097867 The n-th group (n>=0) of 9 consecutive terms are the entries, read by rows, of the 3 X 3 matrix A[n]=MA[n-1], where M is the 3 X 3 matrix [[0, 1, 0], [0, 0, 1], [1, 1, 0]] and A[0] is the 3 X 3 matrix [[0, 1, 1], [1, 1, 2], [1, 2, 2]].

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

Offset

0,6

Links

Table of n, a(n) for n=0..94.

Example

Since MA[0]=[[1,1,2],[1,2,2],[1,2,3]), the 1st group (following the 0th 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 A074292 A156257 * A075344 A144083 A332292

Adjacent sequences: A097864 A097865 A097866 * A097868 A097869 A097870

Keyword

nonn

Author

Roger L. Bagula, Aug 31 2004

Extensions

Edited by N. J. A. Sloane, May 20 2006

Status

approved