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A025881
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Expansion of 1/((1-x^5)*(1-x^6)*(1-x^12)).
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6
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1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 3, 1, 1, 2, 2, 3, 4, 1, 2, 2, 3, 4, 5, 2, 2, 3, 4, 5, 6, 2, 3, 4, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 10, 5, 6, 7, 8, 10, 11, 6, 7, 8, 10, 11, 13, 7, 8, 10, 11
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OFFSET
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0,13
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COMMENTS
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a(n) is the number of partitions of n into parts 5, 6, and 12. - Joerg Arndt, Nov 19 2022
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LINKS
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G. C. Greubel, Table of n, a(n) for n = 0..5000
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,1,1,0,0,0,0,-1,1,0,0,0,0,-1,-1,0,0,0,0,1).
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MATHEMATICA
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CoefficientList[Series[1/((1-x^5)(1-x^6)(1-x^12)), {x, 0, 80}], x] (* Harvey P. Dale, Nov 26 2020 *)
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PROG
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(Magma) R<x>:=PowerSeriesRing(Rationals(), 90); Coefficients(R!( 1/((1-x^5)*(1-x^6)*(1-x^12)) )); // G. C. Greubel, Nov 18 2022
(SageMath)
def A025881_list(prec):
P.<x> = PowerSeriesRing(ZZ, prec)
return P( 1/((1-x^5)*(1-x^6)*(1-x^12)) ).list()
A025881_list(90) # G. C. Greubel, Nov 18 2022
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CROSSREFS
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Cf. A025876, A025877, A025878, A025879, A025880.
Sequence in context: A035144 A157045 A035208 * A039804 A277537 A323179
Adjacent sequences: A025878 A025879 A025880 * A025882 A025883 A025884
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane
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STATUS
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approved
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