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Search: id:A066456
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| A066456 |
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Upper bound on number of regular triangulations of cyclic polytope C(n, n-4). |
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1
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| 1, 1, 2, 4, 8, 14, 25, 40, 65, 97, 146, 206, 292, 394, 533, 694, 905, 1145, 1450, 1792, 2216, 2686, 3257, 3884, 4633, 5449, 6410, 7450, 8660, 9962, 11461, 13066, 14897, 16849, 19058, 21404, 24040, 26830, 29945, 33232
(list; graph; listen)
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OFFSET
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1,3
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LINKS
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M. Azaola and F. Santos, The number of triangulations of the cyclic polytope C(n,n-4), Discrete Comput. Geom., 27 (2002), 29-48.
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MAPLE
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A066456 := proc(n) local m; if n mod 2 = 0 then m := n/2; 6*binomial(m, 4)+3*binomial(m, 3)+4*binomial(m, 2)-m+2; else m := (n+1)/2; 6*binomial(m, 4)+5*binomial(m, 2)-4*m+5; fi; end;
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CROSSREFS
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Sequence in context: A164177 A164157 A164175 this_sequence A066342 A020956 A164153
Adjacent sequences: A066453 A066454 A066455 this_sequence A066457 A066458 A066459
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Jan 04 2002
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