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A105241
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Vector triangular array of Fibonacci tensor Markov.
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0
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0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 3, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 3, 1, 1, 1, 2, 2, 2, 1, 3, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 3, 2, 2, 2, 4, 3, 3, 1, 4, 0
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OFFSET
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1,16
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COMMENTS
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This is the triangle form from {6,2,2}. T[n,k,j] levels j: {0, 1, 1, 1} {0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2} {0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 3} {0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 3, 1, 1, 1, 2, 2, 2, 1, 3, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 3, 2, 2, 2, 4, 3, 3, 1, 4}
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LINKS
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FORMULA
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v[n]=M.v[n-1] M={M1, M2} M1={{0, 1}, {1, 0}} M2={{0, 1}, {1, 1}} Selective flattening and expression to get a vector triangle representation =a[n]
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MATHEMATICA
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v[1] = {{0, 1}, {1, 1}} M = {{{0, 1}, {1, 1}}, {{0, 1}, {1, 1}}} v[n_] := v[n] = M.v[n - 1] a = Table[v[n], {n, 1, 6}] Dimensions[a aa = Table[Flatten[Table[Table[a[[n, j]], {j, 1, 2}], {n, 1, m}]], {m, 1, 6}] aout= Flatten[aa]
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CROSSREFS
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KEYWORD
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nonn,uned,obsc
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AUTHOR
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STATUS
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approved
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