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A029141
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Expansion of 1/((1-x^2)(1-x^3)(1-x^4)(1-x^11)).
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0
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1, 0, 1, 1, 2, 1, 3, 2, 4, 3, 5, 5, 7, 6, 9, 9, 11, 11, 14, 14, 17, 17, 21, 21, 25, 25, 30, 30, 35, 35, 41, 41, 47, 48, 54, 55, 62, 63, 70, 72, 79, 81, 89, 91, 100, 102, 111, 114, 124, 126, 137, 140, 151, 154, 166, 170
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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 2, 3, 4, and 11. - Joerg Arndt, Jun 20 2013
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (0,1,1,1,-1,-1,-1,0,1,0,1,0,-1,-1,-1,1,1,1,0,-1).
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FORMULA
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a(n) = floor((198*(-1+(-1)^n)*(-1)^((n-1)*n/2)+(n+10)*(2*n^2+40*n+125+99*(-1)^n)+1216)/3168). - Tani Akinari, Jun 20 2013
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MATHEMATICA
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CoefficientList[Series[1/((1-x^2)(1-x^3)(1-x^4)(1-x^11)), {x, 0, 60}], x] (* Harvey P. Dale, Sep 07 2011 *)
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PROG
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(PARI) Vec(1/((1-x^2)*(1-x^3)*(1-x^4)*(1-x^11)) + O(x^99)) \\ Jinyuan Wang, Mar 18 2020
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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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