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Search: id:A121956
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| A121956 |
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3 X 3 matrix Marov with tribonacci-like structure with middle an n in the matrix: Characteristic Polynomial x^3-x^2-n*x-1. |
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+0
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| 0, 1, 1, 2, 5, 12, 34, 99, 315, 1042, 3661, 13354, 51006, 201561, 826987, 3498286, 15277665, 68578942, 316519868, 1497639547, 7263576113, 36035247374, 182804409181, 946808180148, 5004540429504, 26963932982089, 148019711470333
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OFFSET
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1,4
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FORMULA
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M = {{0, 1, 0}, {0, 0, 1}, {1, n, 1}}; v[0] = {0, 1, 1}; v[n_] := v[n] = M.v[n - 1] a(n) = v[n][[1]]
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MATHEMATICA
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M = {{0, 1, 0}, {0, 0, 1}, {1, n, 1}}; v[0] = {0, 1, 1}; v[n_] := v[n] = M.v[n - 1] a = Table[v[n][[1]], {n, 0, 30}]
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CROSSREFS
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Cf. A001053.
Adjacent sequences: A121953 A121954 A121955 this_sequence A121957 A121958 A121959
Sequence in context: A076864 A032292 A151408 this_sequence A131467 A000103 A101292
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KEYWORD
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nonn,uned
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AUTHOR
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Roger Bagula (rlbagulatftn(AT)yahoo.com), Sep 01 2006
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