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A029076
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Expansion of 1/((1-x)(1-x^4)(1-x^7)(1-x^11)).
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0
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1, 1, 1, 1, 2, 2, 2, 3, 4, 4, 4, 6, 7, 7, 8, 10, 11, 11, 13, 15, 16, 17, 20, 22, 23, 25, 28, 30, 32, 35, 38, 40, 43, 47, 50, 53, 57, 61, 64, 68, 73, 77, 81, 86, 92, 96, 101, 107, 113, 118, 124, 131, 137, 143, 150, 158
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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, 7 and 11. - Ilya Gutkovskiy, May 18 2017
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (1,0,0,1,-1,0,1,-1,0,0,0,0,0,0,-1,1,0,-1,1,0,0,1,-1).
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MATHEMATICA
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CoefficientList[Series[1/((1-x)(1-x^4)(1-x^7)(1-x^11)), {x, 0, 80}], x] (* or *) LinearRecurrence[{1, 0, 0, 1, -1, 0, 1, -1, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, 1, 0, 0, 1, -1}, {1, 1, 1, 1, 2, 2, 2, 3, 4, 4, 4, 6, 7, 7, 8, 10, 11, 11, 13, 15, 16, 17, 20}, 80] (* Harvey P. Dale, Sep 13 2018 *)
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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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