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 A135711 Minimal perimeter of a polyhex with n cells. 4
 6, 10, 12, 14, 16, 18, 18, 20, 22, 22, 24, 24, 26, 26, 28, 28, 30, 30, 30, 32, 32, 34, 34, 34, 36, 36, 36, 38, 38, 38, 40, 40, 40, 42, 42, 42, 42, 44, 44, 44, 46, 46, 46, 46, 48, 48, 48, 48, 50, 50, 50, 50, 52, 52, 52, 52, 54, 54, 54, 54, 54, 56, 56, 56, 56, 58, 58, 58, 58, 58, 60, 60 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 REFERENCES Y. S. Kupitz, "On the maximal number of appearances of the minimal distance among n points in the plane", in Intuitive geometry: Proceedings of the 3rd international conference held in Szeged, Hungary, 1991; Amsterdam: North-Holland: Colloq. Math. Soc. Janos Bolyai. 63, 217-244. LINKS FORMULA It is easy to use the formula of Harborth given in A135708 to show that a(n) = 2*ceiling(sqrt(12*n-3)). - Sascha Kurz, Mar 05 2008 2*A135708(n) - a(n) = 6n. - Tanya Khovanova, Mar 07 2008 MATHEMATICA Table[2Ceiling[Sqrt[12n-3]], {n, 120}] (* Harvey P. Dale, Dec 29 2019 *) CROSSREFS Cf. A000228 = number of hexagonal polyominoes (or planar polyhexes) with n cells; A135708. Analogs for triangles, squares, cubes: A067628, A027709, A075777. Sequence in context: A082300 A050703 A330397 * A161543 A056868 A069209 Adjacent sequences:  A135708 A135709 A135710 * A135712 A135713 A135714 KEYWORD nonn AUTHOR Tanya Khovanova, Mar 04 2008 EXTENSIONS More terms from N. J. A. Sloane, Mar 05 2008 STATUS approved

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Last modified April 23 13:56 EDT 2021. Contains 343204 sequences. (Running on oeis4.)