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Search: id:A147852
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| A147852 |
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Real part of vector Matrix Markov based on a complex simplex Matrix: M = {{1, 1, 0},{1, 0, 1},{1, I, 0}}; with characteristic Polynomial: (1 - I) + (1 + I)x + x^2 - x^3. |
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+0
1
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| 0, 1, 2, 3, 6, 10, 18, 32, 54, 94, 158, 262, 430, 682, 1054, 1554, 2126, 2554, 2158, -710, -9874, -33782, -90322, -216694, -488530, -1057206, -2221906, -4566678, -9220498, -18345462, -36046738, -70057814, -134836562, -257215734
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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The ratios appear to be cotangent like.
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FORMULA
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M = {{1, 1, 0},{1, 0, 1},{1, I, 0}}; v(n)=M.v(n-1); a(n)=Real_part(v(n)[[1]]).
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MATHEMATICA
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Clear[M, a, n, v]; M = {{1, 1, 0}, {1, 0, 1}, {1, I, 0}}; v[0] = {0, 1, 1}; v[n_] := v[n] = M.v[n - 1]; a = Table[Re[v[n][[1]]], {n, 0, 50}]
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CROSSREFS
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Sequence in context: A066000 A011957 A019436 this_sequence A061279 A018073 A052972
Adjacent sequences: A147849 A147850 A147851 this_sequence A147853 A147854 A147855
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KEYWORD
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sign
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Nov 15 2008
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