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Search: id:A042944
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| A042944 |
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Curvatures in diagram constructed by inscribing 2 circles of curvature 2 inside circle of curvature -1, continuing indefinitely to inscribe circles wherever possible. |
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+0
7
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| -1, 2, 3, 6, 11, 14, 15, 18, 23, 26, 27, 30, 35, 38, 39, 42, 47, 50, 51, 54, 59, 62, 63, 66, 71, 74, 75, 83, 86, 87, 90, 95, 98, 99, 102, 107, 110, 111, 114, 119, 122, 123, 126, 131, 134, 135, 138, 143, 146, 147, 150, 155, 158, 162, 167, 170, 171, 174, 179, 182, 183
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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The sequence seems to follow a pattern where differences between consecutive terms are 3,1,3,5,3,1,3,5,.... However, some curvatures (starting with 78) are in the parent sequence, but missing from the circle diagram.
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REFERENCES
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Clifford A. Pickover, The Mathematics of OZ, Mental Gymnastics From Beyond The Edge, Cambridge University Press, Chapter 104 'Circle Mathematics,' figure courtesy of Allan R. Wilks, Cambridge, UK, 2002, pages 219 - 220.
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LINKS
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I. Peterson, Circle Game, Science News, 4/21/01.
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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CROSSREFS
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Cf. A042945, A042946, A045506.
Sequence in context: A057758 A057125 A018687 this_sequence A090304 A005211 A076307
Adjacent sequences: A042941 A042942 A042943 this_sequence A042945 A042946 A042947
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KEYWORD
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sign,nice
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AUTHOR
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Brian L. Galebach (sequence(AT)ProbabilitySports.com), Allan Wilks (allan(AT)research.att.com)
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