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Search: id:A107378
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| A107378 |
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Sequence produced by 4 X 4 Markov chain with characteristic polynomial x^4-4*x^3+4*x+1. |
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+0
2
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| 0, 1, 1, 2, 4, 11, 35, 122, 440, 1609, 5913, 21770, 80204, 295555, 1089227, 4014322, 14794864, 54526993, 200961457, 740652050, 2729705364, 10060448635, 37078224883, 136653426026, 503642204200, 1856195468633, 6841089945545
(list; graph; listen)
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OFFSET
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0,4
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COMMENT
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Setting m=3 gives a Fibonacci sequence.
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MATHEMATICA
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m = 4 M = {{0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {-1, -m, 0, m}} Expand[Det[M - x*IdentityMatrix[4]]] NSolve[Det[M - x*IdentityMatrix[4]] == 0, x] v[1] = {0, 1, 1, 2}; v[n_] := v[n] = M.v[n - 1]; digits = 50; a = Table[v[n][[1]], {n, 1, digits}]
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CROSSREFS
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Cf. A107377.
Sequence in context: A126149 A000088 A071794 this_sequence A086611 A035098 A138301
Adjacent sequences: A107375 A107376 A107377 this_sequence A107379 A107380 A107381
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KEYWORD
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nonn
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), May 24 2005
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EXTENSIONS
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Edited by N. J. A. Sloane (njas(AT)research.att.com), Jul 13 2007
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