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A036573
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Size of maximal triangulation of an n-antiprism with regular polygonal base.
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2
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4, 8, 12, 17, 22, 28, 34, 41, 48, 56, 64, 73, 82, 92, 102, 113, 124, 136, 148, 161, 174, 188, 202, 217, 232, 248, 264, 281, 298, 316, 334, 353, 372, 392, 412, 433, 454, 476, 498, 521, 544, 568, 592, 617, 642, 668, 694, 721, 748, 776, 804, 833
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OFFSET
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3,1
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LINKS
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FORMULA
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a(n) = floor((n^2 + 8n - 16)/4). - Ralf Stephan, Oct 13 2003
a(n) = (-33+(-1)^n+16*n+2*n^2)/8. a(n) = 2*a(n-1)-2*a(n-3)+a(n-4). G.f.: -x^3*(x^3-4*x^2+4) / ((x-1)^3*(x+1)). - Colin Barker, Sep 06 2013
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MATHEMATICA
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CoefficientList[Series[-(x^3 - 4 x^2 + 4)/((x - 1)^3 (x + 1)), {x, 0, 60}], x] (* Vincenzo Librandi, Oct 21 2013 *)
LinearRecurrence[{2, 0, -2, 1}, {4, 8, 12, 17}, 60] (* Harvey P. Dale, Nov 28 2014 *)
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PROG
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(PARI) Vec(-x^3*(x^3-4*x^2+4)/((x-1)^3*(x+1)) + O(x^100)) \\ Colin Barker, Sep 06 2013
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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Jesus De Loera (deloera(AT)math.ucdavis.edu)
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EXTENSIONS
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STATUS
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approved
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