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A025923
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Expansion of 1/((1-x^9)*(1-x^10)*(1-x^11)).
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0
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1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 3, 2, 2, 1, 1, 1, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4
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OFFSET
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0,21
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,-1,-1,-1,0,0,0,0,0,0,0,0,1).
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FORMULA
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a(n) = a(n-9) + a(n-10) + a(n-11) - a(n-19) - a(n-20) - a(n-21) + a(n-30). - R. J. Mathar, Jul 19 2014
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MATHEMATICA
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CoefficientList[1/Series[Times@@(1-x^Range[9, 11]), {x, 0, 120}], x] (* or *) LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2}, 120] (* Harvey P. Dale, Apr 01 2018 *)
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PROG
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(PARI) Vec(1/((1-x^9)*(1-x^10)*(1-x^11)) + O(x^90)) \\ Jinyuan Wang, Feb 28 2020
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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