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A029059
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Expansion of 1/((1-x)*(1-x^3)*(1-x^9)*(1-x^11)).
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1
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1, 1, 1, 2, 2, 2, 3, 3, 3, 5, 5, 6, 8, 8, 9, 11, 11, 12, 15, 15, 17, 20, 21, 23, 26, 27, 29, 33, 34, 37, 41, 43, 46, 51, 53, 56, 62, 64, 68, 74, 77, 81, 88, 91, 96, 104, 107, 113, 121, 125, 131, 140, 144, 151, 161, 166
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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, 9 and 11. - Ilya Gutkovskiy, May 16 2017
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (1,0,1,-1,0,0,0,0,1,-1,1,-2,1,-1,1,0,0,0,0,-1,1,0,1,-1).
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MATHEMATICA
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CoefficientList[Series[1/((1 - x)*(1 - x^3)*(1 - x^9)*(1 - x^11)), {x, 0, 50}], x] (* G. C. Greubel, May 17 2017 *)
LinearRecurrence[{1, 0, 1, -1, 0, 0, 0, 0, 1, -1, 1, -2, 1, -1, 1, 0, 0, 0, 0, -1, 1, 0, 1, -1}, {1, 1, 1, 2, 2, 2, 3, 3, 3, 5, 5, 6, 8, 8, 9, 11, 11, 12, 15, 15, 17, 20, 21, 23}, 80] (* Harvey P. Dale, Apr 21 2019 *)
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PROG
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(PARI) x='x+O('x^50); Vec(1/((1-x)*(1-x^3)*(1-x^9)*(1-x^11))) \\ 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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