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 A122722 Number of triangulations of Delta^2 x Delta^(k-1). 0
 1, 6, 108, 4488, 376200 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The number of triangulations of Delta^2 x Delta^(k) is between alpha^k^2 and beta*(k^2) where alpha = (27/16)^(1/4) ~ 1.13975 and beta = 6^(1/6) ~1.34800 [Santos, p. 10]. There are arithmetic errors in Santos' lecture notes. The same table gives lozenge tilings of k*Delta^2. LINKS J. A. de Loera, J. Rambau and Francisco Santos, MSRI Summer School on Triangulations of point sets, Applications, Structures and Algorithms. Francisco Santos, Enumeration in the space of triangulations, part 1. Handwritten; table on p. 9. EXAMPLE a(1) = 1 * 1! = 1. a(2) = 3 * 2! = 6. a(3) = 18 * 3! = 108. a(4) = "187 * 4! = 2244" [sic]; actually 187 * 4! = 4488. a(5) = "3135 * 5! = 18400" [sic]; actually 3135 * 5! = 376200. CROSSREFS Sequence in context: A221954 A167484 A011555 * A127946 A012503 A168482 Adjacent sequences:  A122719 A122720 A122721 * A122723 A122724 A122725 KEYWORD nonn AUTHOR Jonathan Vos Post, Oct 22 2006 STATUS approved

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Last modified August 18 00:56 EDT 2019. Contains 326059 sequences. (Running on oeis4.)