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Search: id:A099206
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| A099206 |
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Absolute value of a vector matrix Markov sequence with same polynomial as Kenyon's tile: x^3-2*x-x-1==0. |
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+0
4
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| 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 6, 2, 6, 15, 6, 15, 38, 15, 38, 97, 38, 97, 247, 97, 247, 629, 247, 629, 1602, 629, 1602, 4080, 1602, 4080, 10391, 4080, 10391, 26464, 10391, 26464, 67399, 26464, 67399, 171653, 67399, 171653, 437169, 171653, 437169
(list; graph; listen)
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OFFSET
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1,9
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LINKS
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Stewart R. Hinsley, A Tile Associated with the 8th Unit Cubic Pisot Number
Richard Kenyon, The Construction of Self-Similar Tilings
Richard Kenyon, Papers
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FORMULA
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M = {{0, 1, 0}, {0, 0, 1}, {-1, 1, -2}}; v[0]={0, 1, 1}; a(n) = Abs[vector components of M^n*v[0]].
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MATHEMATICA
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M = {{0, 1, 0}, {0, 0, 1}, {-1, 1, -2}}; v[0] = {0, 1, 1}; v[1] = {1, 1, -1}; v[n_] := v[n] = M.v[n - 1]; a = Flatten[Table[v[n], {n, 0, 17}]]; Abs[a]
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CROSSREFS
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Sequence in context: A050977 A053448 A060550 this_sequence A121341 A126093 A065279
Adjacent sequences: A099203 A099204 A099205 this_sequence A099207 A099208 A099209
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KEYWORD
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nonn
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AUTHOR
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Roger Bagula (rlbagulatftn(AT)yahoo.com), Mar 19 2005
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