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Search: id:A135711
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| A135711 |
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Minimal perimeter of a polyhex with n cells. |
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+0
5
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| 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; listen)
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OFFSET
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1,1
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REFERENCES
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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.
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FORMULA
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It is easy to use the formula of Harborth given in A135708 to show that a(n) = 2*ceil(sqrt(12*n-3)). - Sascha Kurz, Mar 05 2008
2*A135708(n) - a(n) = 6n. - Tanya Khovanova (tanyakh(AT)yahoo.com), Mar 07 2008
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CROSSREFS
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Cf. A000228 = number of hexagonal polyominoes (or planar polyhexes) with n cells; A135708.
Analogues for triangles, squares, cubes: A067628, A027709, A075777.
Sequence in context: A080363 A082300 A050703 this_sequence A161543 A056868 A069209
Adjacent sequences: A135708 A135709 A135710 this_sequence A135712 A135713 A135714
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KEYWORD
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nonn
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AUTHOR
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Tanya Khovanova (tanyakh(AT)yahoo.com), Mar 04 2008
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EXTENSIONS
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More terms from N. J. A. Sloane (njas(AT)research.att.com), Mar 05 2008
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