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Search: id:A108153
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| A108153 |
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Second Barry sequence for the countdown Rauzy with Pisot characteristic polynomial: x^3-3*x^2-2*x-1. |
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+0
2
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| 0, 1, 3, 11, 40, 145, 526, 1908, 6921, 25105, 91065, 330326, 1198213, 4346356, 15765820, 57188385, 207443151, 752472043, 2729490816, 9900859685, 35914032730, 130273308376, 472548850273, 1714107200301, 6217692609825
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Method attributed to Paul Barry in A000073: sequences equivalent to count of threes in the substitution and one term phase over gives the ones count.
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FORMULA
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M = {{0, 1, 0}, {0, 0, 1}, {1, 2, 3}} a(n) = M^i[[1, 3]]
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MATHEMATICA
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M = {{0, 1, 0}, {0, 0, 1}, {1, 2, 3}} a3 = Table[MatrixPower[M, i][[1, 3]], {i, 1, 50}]
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CROSSREFS
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Cf. A000073, A001590.
Adjacent sequences: A108150 A108151 A108152 this_sequence A108154 A108155 A108156
Sequence in context: A066979 A136775 A010911 this_sequence A052941 A014301 A119375
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KEYWORD
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nonn,uned
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jun 06 2005
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