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Search: id:A093613
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| A093613 |
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Table read by rows: row n is the n-th Primary Phyllotaxis Sequence (PPS), which has F(n+1) terms, where F(n) is the n-th fibonacci number. For 1 <= k < F(n+1), a(n, k) = -k*F(n-1) mod F(n+1). a(n, F(n+1)) = F(n+1). |
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1
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| 1, 1, 2, 2, 1, 3, 3, 1, 4, 2, 5, 5, 2, 7, 4, 1, 6, 3, 8, 8, 3, 11, 6, 1, 9, 4, 12, 7, 2, 10, 5, 13, 13, 5, 18, 10, 2, 15, 7, 20, 12, 4, 17, 9, 1, 14, 6, 19, 11, 3, 16, 8, 21, 21, 8, 29, 16, 3, 24, 11, 32, 19, 6, 27, 14, 1, 22, 9, 30, 17, 4, 25, 12, 33, 20, 7, 28, 15, 2, 23, 10, 31, 18, 5, 26
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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Related to the arrangement of stalks or florets on a plant.
In the reference, the rows of the table appear as rings of the Primary Phyllotaxis Wheel, alternating clockwise and counterclockwise.
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REFERENCES
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Jay Kappraff, "Beyond Measure, A Guided Tour Through Nature, Myth, and Number", World Scientific, 2002, p. 522-538., (p. 535, Adamson's Primary Phyllotaxis Wheel).
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LINKS
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Jay Kappraff, Growth in Plants: A Study in Number
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EXAMPLE
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The row of 13 terms starts with 8. Successive terms are obtained by subracting 5 or adding 8: 8,3,11,6,1,9,4,12,7,2,10,5,13.
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CROSSREFS
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Adjacent sequences: A093610 A093611 A093612 this_sequence A093614 A093615 A093616
Sequence in context: A103360 A104469 A104660 this_sequence A118816 A097289 A114115
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KEYWORD
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nonn,easy,tabf
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Apr 04 2004
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EXTENSIONS
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Edited by David Wasserman (dwasserm(AT)earthlink.net), Oct 26 2006
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