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A025770
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Expansion of 1/((1-x)(1-x^3)(1-x^10)).
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0
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1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 5, 5, 6, 7, 7, 8, 9, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 27, 28, 29, 31, 32, 33, 35, 37, 38, 40, 42, 43, 45, 47, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 75, 77, 79, 82, 84, 86, 89, 91, 93, 96, 99, 101, 104, 107, 109, 112, 115, 117, 120, 123, 126, 129
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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, and 10. - Joerg Arndt, May 05 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, 0, 0, 1, -1, 0, -1, 1).
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FORMULA
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G.f.: 1/((1-x)*(1-x^3)*(1-x^10)).
a(n) = floor((3*n^2+42*n+196-40*cos(2*(n+1)*Pi/3))/180). - Tani Akinari, May 03 2014
a(n) = +a(n-1) +a(n-3) -a(n-4) +a(n-10) -a(n-11) -a(n-13) +a(n-14). - R. J. Mathar, Aug 21 2014
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MATHEMATICA
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CoefficientList[Series[1/((1 - x) (1 - x^3) (1 - x^10)), {x, 0, 100}],
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PROG
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(PARI) Vec( 1/((1-x)*(1-x^3)*(1-x^10)) +O(x^66) ) \\ Joerg Arndt, May 05 2014
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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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