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A147592
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Expansion of 1/(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
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OFFSET
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0,3
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LINKS
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Table of n, a(n) for n=0..49.
Index entries for linear recurrences with constant coefficients, signature (-1,1,3,1,-1,-1).
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FORMULA
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G.f.: 1/((x^3-x-1)*(x^3+x^2-1)). [Colin Barker, Nov 04 2012]
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MATHEMATICA
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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}]
LinearRecurrence[{-1, 1, 3, 1, -1, -1}, {1, -1, 2, 0, 0, 4}, 60] (* Harvey P. Dale, Sep 23 2020 *)
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CROSSREFS
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Sequence in context: A212137 A346462 A230295 * A108885 A341654 A072740
Adjacent sequences: A147589 A147590 A147591 * A147593 A147594 A147595
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KEYWORD
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sign,easy
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AUTHOR
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Roger L. Bagula, Nov 08 2008
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EXTENSIONS
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Edited by Joerg Arndt and Colin Barker, Nov 04 2012
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STATUS
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approved
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