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A127399
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Number of segments of the longest possible zigzag paths fitting into a circle of diameter 2 if the path with index n is constructed according to the rules of the "Snakes on a Plane" problem of Al Zimmermann's programming contest.
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3
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2, 6, 4, 6, 7, 7, 8, 11, 9, 11, 12, 14, 13, 17, 16, 19, 20, 20, 23, 23, 23, 27, 27, 28, 29
(list; graph; refs; listen; history; internal format)
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OFFSET
| 2,1
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COMMENTS
| The extension of the contest problem to larger sets of hinge angles was proposed by James Buddenhagen (jbuddenh(AT)gmail.com). A link to the contest rules is given in A127400. Results up to n=32 were found by Markus Sigg (mail(AT)MarkusSigg.de). Known lower bounds for the next terms are a(27)>=29, a(28)>=32, a(29)>=34, a(30>=34, a(31)>=34, a(32)>=39.
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LINKS
| Hugo Pfoertner, Visualization of longest zigzag paths fitting into circle of diameter 2.
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CROSSREFS
| Cf. A127400 [solutions for container diameter 3], A127401 [solutions for container diameter 4], A122223, A122224, A122226 [solutions for hinge angles excluded from contest].
Sequence in context: A110633 A119250 A059773 * A151689 A202347 A088438
Adjacent sequences: A127396 A127397 A127398 * A127400 A127401 A127402
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KEYWORD
| hard,more,nonn
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AUTHOR
| Hugo Pfoertner (hugo(AT)pfoertner.org), Jan 12 2007
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