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A029065
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Expansion of 1/((1-x)*(1-x^4)*(1-x^5)*(1-x^8)).
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1
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1, 1, 1, 1, 2, 3, 3, 3, 5, 6, 7, 7, 9, 11, 12, 13, 16, 18, 20, 21, 25, 28, 30, 32, 37, 41, 44, 46, 52, 57, 61, 64, 71, 77, 82, 86, 94, 101, 107, 112, 122, 130, 137, 143, 154, 164, 172, 179, 192, 203, 213, 221, 235, 248
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OFFSET
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0,5
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COMMENTS
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Number of partitions of n into parts 1, 4, 5 and 8. - Ilya Gutkovskiy, May 17 2017
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (1,0,0,1,0,-1,0,1,-2,1,0,-1,0,1,0, 0,1,-1).
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FORMULA
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a(n) = a(n-1)+a(n-4)-a(n-6)+a(n-8)-2*a(n-9)+a(n-10)-a(n-12)+a(n-14)+a(n-17)-a(n-18). - Wesley Ivan Hurt, May 17 2021
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MATHEMATICA
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CoefficientList[Series[1/((1 - x)*(1 - x^4)*(1 - x^5)*(1 - x^8)), {x, 0, 50}], x] (* G. C. Greubel, May 17 2017 *)
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PROG
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(PARI) x='x+O(x^50); Vec(1/((1 - x)*(1 - x^4)*(1 - x^5)*(1 - x^8))) \\ G. C. Greubel, May 17 2017
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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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