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A097866
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The n-th group (n>=0) of 9 consecutive terms are the entries, read by rows, of the 3 by 3 matrix A[n], where A[0]= [[0, 1, 1], [1, 1, 2], [1, 2, 4]], A[1]=[[1, 1, 2], [1, 1, 2], [2, 4, 7]], A[2]=[[1, 1, 2], [1, 1, 2], [4, 6, 11]] and A[n]=A[abs(n-A[n-1](1, 1))] + A[abs(n-A[n-2](1, 2))] + A[abs(n-A[n-3](1, 3))], (M(i, j) denoting the (i, j)-entry of the matrix M).
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0
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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, 3, 3, 6, 3, 3, 6, 12, 18, 33, 5, 5, 10, 5, 5, 10, 18, 28, 51, 4, 5, 9, 5, 5, 10, 17, 26, 48, 2, 3, 5, 3, 3, 6, 7, 12, 22, 8, 9, 17, 9, 9, 18, 33, 50, 92, 5, 7, 12, 7, 7, 14, 20, 32, 59, 10, 11, 21, 11, 11, 22, 37, 58
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OFFSET
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0,6
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LINKS
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Table of n, a(n) for n=0..88.
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EXAMPLE
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We have A[2](1,1)=1, A[1](1,2)=1, A[0](1,3)=1 and so A[3]=A[3-1]+A[3-1]+A[3-1]=3A[2], a matrix with entries (3,3,6,3,3,6,12,18,33), yielding the 28th,29th,...,36th terms of the sequence.
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MAPLE
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with(linalg): A[0]:=matrix(3, 3, [0, 1, 1, 1, 1, 2, 1, 2, 4]): A[1]:=matrix(3, 3, [1, 1, 2, 1, 1, 2, 2, 4, 7]): for n from 2 to 10 do A[n]:=evalm(A[n-A[n-1][1, 1]]+A[n-A[n-2][1, 2]]) od: seq(seq(seq(A[k][i, j], j=1..3), i=1..3), k=0..10);
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CROSSREFS
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Sequence in context: A132014 A110330 A097864 * A097865 A105245 A105246
Adjacent sequences: A097863 A097864 A097865 * A097867 A097868 A097869
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KEYWORD
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nonn
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AUTHOR
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Roger L. Bagula, Aug 30 2004
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EXTENSIONS
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Edited by N. J. A. Sloane, May 20 2006
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STATUS
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approved
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