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A100283
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a(n) = floor( p*(n+1)) - floor( p*(n)) - 1 where p = Padovan plastic number = 1.324718... (cf. A060006).
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0
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0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1
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OFFSET
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0,1
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COMMENTS
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A rabbit-like sequence generated by the Padovan plastic number.
The well-known rabbit sequence is generated by taking the difference between the nearest integer less than phi*(n+1) minus the nearest integer less than phi*(n). If this value is 2, then the n-th rabbit sequence value is one. If this value is 1, the n-th rabbit sequence is 0. The sequence given is calculated in a similar manner, but using the plastic constant = 1.324717957244... instead of phi = 1.618033..= (1+sqrt(5))/2. It is 0001 followed by 11 copies of 001 followed by 0001 followed by 12 copies of 001 followed by 11 copies of 001 followed by similar patterns of 0001 followed by n copies of 001 where n is 11 or 12.
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REFERENCES
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Midhat J. Gazale, "Gnomon: From Pharoahs to Fractals" Princeton University Press, 1969
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LINKS
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Table of n, a(n) for n=0..104.
Author?, Title?
Ian Stewart, "Tales of a Neglected Number"
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PROG
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(PARI) p=(sqrt(23/108)+.5)^(1/3) + (abs( sqrt(23/108) -.5))^(1/3); for(n = 0, n = 200, r = floor(p*(n+1)) - floor(p*n) -1; print (r ))
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CROSSREFS
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Cf. A000931, A005614, A060006.
Sequence in context: A125117 A144603 A163581 * A134391 A102215 A038189
Adjacent sequences: A100280 A100281 A100282 * A100284 A100285 A100286
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KEYWORD
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nonn
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AUTHOR
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John Lien, Dec 28 2004
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EXTENSIONS
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Partially edited by N. J. A. Sloane, Jun 13 2007
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STATUS
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approved
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