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A109544
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Expansion of (1 + x - x^3 - 2*x^4)/(1 - x^2 - x^3 - x^4 - x^5).
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8
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1, 1, 1, 1, 1, 4, 4, 7, 10, 16, 25, 37, 58, 88, 136, 208, 319, 490, 751, 1153, 1768, 2713, 4162, 6385, 9796, 15028, 23056, 35371, 54265, 83251, 127720, 195943, 300607, 461179, 707521, 1085449, 1665250, 2554756, 3919399, 6012976, 9224854, 14152381
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OFFSET
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0,6
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LINKS
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FORMULA
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a(n) = a(n-2) + a(n-3) + a(n-4) + a(n-5).
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MATHEMATICA
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LinearRecurrence[{0, 1, 1, 1, 1}, {1, 1, 1, 1, 1}, 50]
CoefficientList[Series[(1+x-x^3-2x^4)/(1-x^2-x^3-x^4-x^5), {x, 0, 50}], x] (* Harvey P. Dale, Oct 24 2021 *)
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PROG
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(Maxima) makelist(ratcoef(taylor((1 + x - x^3 - 2*x^4)/(1 - x^2 - x^3 - x^4 - x^5), x, 0, n), x, n), n, 0, 50); /* Franck Maminirina Ramaharo, Oct 31 2018 */
(PARI) x='x+O('x^50); Vec((1+x-x^3-2*x^4)/(1-x^2-x^3-x^4-x^5)) \\ G. C. Greubel, Nov 03 2018
(Magma) m:=50; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!((1+x-x^3-2*x^4)/(1-x^2-x^3-x^4-x^5))); // G. C. Greubel, Nov 03 2018
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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