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A135708
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Minimal total number of edges in a polyhex consisting of n hexagonal cells.
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4
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6, 11, 15, 19, 23, 27, 30, 34, 38, 41, 45, 48, 52, 55, 59, 62, 66, 69, 72, 76, 79, 83, 86, 89, 93, 96, 99, 103, 106, 109, 113, 116, 119, 123, 126, 129, 132, 136, 139, 142, 146, 149, 152, 155, 159, 162, 165, 168, 172, 175, 178, 181, 185, 188, 191, 194, 198, 201, 204, 207, 210
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| The extremal examples were described by Y. S. Kupitz in 1991.
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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.
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FORMULA
| 3*n+ceil(sqrt(12*n-3)) [H. Harborth]
2*a(n) - A135711(n) = 6n. - Tanya Khovanova (tanyakh(AT)yahoo.com), Mar 07 2008
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CROSSREFS
| Cf. A135711.
Sequence in context: A043098 A039276 A044995 * A043878 A193886 A141352
Adjacent sequences: A135705 A135706 A135707 * A135709 A135710 A135711
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), based on an email from Sascha Kurz, Mar 05 2008
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