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 A097864 Matrix recurrence A[n] = M * A[n-1] with A[0] = [[0,1,1],[1,1,2],[1,2,4]] and M = [[0,1,0],[0,1,0],[1,1,1]], flattened. 0
 0, 1, 1, 1, 1, 2, 1, 2, 4, 1, 1, 2, 1, 1, 2, 2, 4, 7, 1, 1, 2, 1, 1, 2, 4, 6, 11, 1, 1, 2, 1, 1, 2, 6, 8, 15, 1, 1, 2, 1, 1, 2, 8, 10, 19, 1, 1, 2, 1, 1, 2, 10, 12, 23, 1, 1, 2, 1, 1, 2, 12, 14, 27, 1, 1, 2, 1, 1, 2, 14, 16, 31, 1, 1, 2, 1, 1, 2, 16, 18, 35, 1, 1, 2, 1, 1, 2, 18, 20, 39, 1, 1, 2, 1, 1, 2 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,6 COMMENTS Previous name was:  The n-th group (n>=0) of 9 consecutive terms are the entries, read by rows, of the 3 X 3 matrix A[n]=M*A[n-1], where M is the 3 X 3 matrix [[0,1,0],[0,1,0],[1,1,1]] and A[0] is the 3 X 3 matrix [[0,1,1],[1,1,2],[1,2,4]]. LINKS Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,-1). FORMULA a(n) = 2*a(n-9) - a(n-18) for n >= 27. - R. J. Mathar, Oct 31 2008 MAPLE with(linalg): nmax:=50: M:=matrix(3, 3, [0, 1, 0, 0, 1, 0, 1, 1, 1]): A[0]:=matrix(3, 3, [0, 1, 1, 1, 1, 2, 1, 2, 4]): for n from 1 to nmax do A[n]:=multiply(M, A[n-1]) od: seq(seq(seq(A[k][i, j], j=1..3), i=1..3), k=0..nmax); # Georg Fischer, Jan 17 2021 MATHEMATICA LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1}, {0, 1, 1, 1, 1, 2, 1, 2, 4, 1, 1, 2, 1, 1, 2, 2, 4, 7, 1, 1, 2, 1, 1, 2, 4, 6, 11}, 96] (* Georg Fischer, Jan 17 2021 *) CROSSREFS Sequence in context: A143446 A110330 A132014 * A097866 A097865 A105245 Adjacent sequences:  A097861 A097862 A097863 * A097865 A097866 A097867 KEYWORD nonn,easy,less AUTHOR Roger L. Bagula, Aug 30 2004 EXTENSIONS Edited by N. J. A. Sloane, May 13 2006 Definition changed by Georg Fischer, Jan 17 2021 STATUS approved

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Last modified May 7 07:37 EDT 2021. Contains 343636 sequences. (Running on oeis4.)