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A147592
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Coefficient expansion of the symmetrical polynomial: 1 + x - x^2 - 3 x^3 - x^4 + x^5 + x^6.
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0
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1, -1, 2, 0, 0, 4, -2, 5, 3, 0, 12, 0, 12, 16, 5, 35, 18, 36, 64, 40, 110, 105, 135, 240, 216, 384, 472, 560, 905, 999, 1458, 1960, 2368, 3500, 4302, 5805, 7947, 9936, 13860, 17920, 23588, 32096, 41229, 55755, 73570, 96460, 129920, 169680, 226206, 300369
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| Vector Matrix Markov: M={{0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1}, {-1, -1, 1, 3, 1, -1}}; v[0] = Table[a[[n]], {n, 1, 6}]={1, -1, 2, 0, 0, 4}; v[n_] := v[n] = M.v[n - 1]; Table[v[n][[1]], {n, 0, 50}]
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FORMULA
| a()=Coefficient_Expansion(1 + x - x^2 - 3 x^3 - x^4 + x^5 + x^6).
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MATHEMATICA
| f[x_] = x^3 - x - 1; g[x] = ExpandAll[ -f[x]*x^3*f[1/x]]; a = Table[SeriesCoefficient[Series[1/g[x], {x, 0, 50}], n], {n, 0, 50}]
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CROSSREFS
| Sequence in context: A118965 A121552 A158118 * A108885 A072740 A080964
Adjacent sequences: A147589 A147590 A147591 * A147593 A147594 A147595
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KEYWORD
| sign
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AUTHOR
| Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Nov 08 2008
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