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Search: id:A140806
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| A140806 |
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A Matrix Markov sequence based on the polynomial in the cubic elliptic invariant of A113922: characteristic polynomial x^8+14*x64+1; Bezout matrix: M = {{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, {-1, 0, 0, 0, -14, 0, 0, 0}}. |
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+0
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| 1, 1, 1, 1, 1, 1, 1, 1, -15, -15, -15, -15, 209, 209, 209, 209, -2911, -2911, -2911, -2911, 40545, 40545, 40545, 40545, -564719, -564719, -564719, -564719, 7865521, 7865521, 7865521, 7865521, -109552575, -109552575, -109552575, -109552575, 1525870529, 1525870529, 1525870529
(list; table; graph; listen)
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OFFSET
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1,9
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FORMULA
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M = {{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, {-1, 0, 0, 0, -14, 0, 0, 0}}; v(n)=M.v(n-1): a9n)=v(n)( element 1).
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MATHEMATICA
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= {{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, {-1, 0, 0, 0, -14, 0, 0, 0}}; v[0] = {1, 1, 1, 1, 1, 1, 1, 1}; v[n_] := v[n] = M.v[n - 1]; a = Table[v[n][[1]], {n, 0, 50}]
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CROSSREFS
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Cf. A113922.
Sequence in context: A069785 A010854 A003884 this_sequence A085321 A003890 A040211
Adjacent sequences: A140803 A140804 A140805 this_sequence A140807 A140808 A140809
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KEYWORD
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uned,tabl,sign
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AUTHOR
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Roger L. Bagula and Gary W. Adamson (rlbagulatftn(AT)yahoo.com), Jul 15 2008
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