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A029057
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Expansion of 1/((1-x)(1-x^3)(1-x^8)(1-x^12)).
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0
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1, 1, 1, 2, 2, 2, 3, 3, 4, 5, 5, 6, 8, 8, 9, 11, 12, 13, 15, 16, 18, 20, 21, 23, 27, 28, 30, 34, 36, 38, 42, 44, 48, 52, 54, 58, 64, 66, 70, 76, 80, 84, 90, 94, 100, 106, 110, 116, 125, 129, 135, 144, 150, 156, 165, 171
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OFFSET
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0,4
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COMMENTS
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Number of partitions of n into parts 1, 3, 8, and 12. - Joerg Arndt, May 22 2014
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (1,0,1,-1,0,0,0,1,-1,0,-1,2,-1,0,-1,1,0,0,0,-1,1,0,1,-1).
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MATHEMATICA
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CoefficientList[Series[1/((1-x)(1-x^3)(1-x^8)(1-x^12)), {x, 0, 90}], x] (* Jinyuan Wang, Mar 24 2020 *)
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PROG
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(PARI) a(n)=round((n+12)*(2*n^2+48*n+179+9*(-1)^n)/3456+[2*(n\2)+12, 1][n%2+1]*(-1)^(n\2)/96-[-2, 1, 1][n%3+1]*(n\3+1)/36) \\ Tani Akinari, May 22 2014
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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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