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A011779
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Expansion of 1/((1-x)^3*(1-x^3)^2).
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4
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1, 3, 6, 12, 21, 33, 51, 75, 105, 145, 195, 255, 330, 420, 525, 651, 798, 966, 1162, 1386, 1638, 1926, 2250, 2610, 3015, 3465, 3960, 4510, 5115, 5775, 6501, 7293, 8151, 9087, 10101, 11193, 12376, 13650
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OFFSET
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0,2
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COMMENTS
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The Ca2 and Ze4 triangle sums of A139600 are related to the sequence given above, e.g., Ze4(n) = A011779(n-1) - A011779(n-2) - A011779(n-4) + 3*A011779(n-5), with A011779(n) = 0 for n <= -1. For the definitions of these triangle sums see A180662. [Johannes W. Meijer, Apr 29 2011]
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (3,-3,3,-6,6,-3,3,-3,1).
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MATHEMATICA
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CoefficientList[Series[1 / ((1 - x)^3 (1 - x^3)^2), {x, 0, 100}], x] (* Vincenzo Librandi, Jun 23 2013 *)
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PROG
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(PARI) Vec(1/((1-x)^3*(1-x^3)^2)+O(x^99)) \\ Charles R Greathouse IV, Sep 25 2012
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CROSSREFS
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Cf. A236770 (first trisection, except 0).
Sequence in context: A053479 A290768 A070333 * A161809 A084439 A034344
Adjacent sequences: A011776 A011777 A011778 * A011780 A011781 A011782
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KEYWORD
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nonn,easy
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AUTHOR
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Emeric Deutsch
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STATUS
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approved
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