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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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3
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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; refs; listen; history; internal format)
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OFFSET
| 1,9
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LINKS
| 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
| 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
| 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
| Sequence in context: A050977 A053448 A060550 * A121341 A174959 A126093
Adjacent sequences: A099203 A099204 A099205 * A099207 A099208 A099209
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KEYWORD
| nonn
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AUTHOR
| Roger Bagula (rlbagulatftn(AT)yahoo.com), Mar 19 2005
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