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A215345
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Value of y in the n-th number of the form x+y*(1+sqrt(5))/2.
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2
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0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 3, 0, 2, 1, 3, 0, 2, 4, 1, 3, 0, 2, 4, 1, 3, 0, 5, 2, 4, 1, 3, 0, 5, 2, 4, 1, 6, 3, 0, 5, 2, 4, 1, 6, 3, 0, 5, 2, 7, 4, 1, 6, 3, 0, 5, 2, 7, 4, 1, 6, 3, 8, 0, 5, 2, 7, 4, 1, 6, 3, 8, 0, 5, 2, 7, 4, 9, 1, 6, 3, 8, 0, 5, 2, 7, 4, 9, 1, 6, 3, 8, 0, 5, 10, 2, 7, 4, 9, 1, 6, 3, 8, 0, 5, 10, 2, 7, 4, 9, 1, 6, 11, 3, 8
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OFFSET
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1,7
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COMMENTS
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Let x>=0, y>=0 be integers, sort according to x+y*(1+sqrt(5))/2, this sequence gives the y-values. [Joerg Arndt, Aug 16 2012]
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LINKS
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Peter G. Anderson, Table of n, a(n) for n = 1..1571
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EXAMPLE
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Let g = (1+sqrt(5))/2, sequences A215344 (x) and A215345 (y) start as:
[x+y*g, x, y]
[0.0000000, 0, 0]
[1.0000000, 1, 0]
[1.6180340, 0, 1]
[2.0000000, 2, 0]
[2.6180340, 1, 1]
[3.0000000, 3, 0]
[3.2360680, 0, 2]
[3.6180340, 2, 1]
[4.0000000, 4, 0]
[4.2360680, 1, 2]
[4.6180340, 3, 1]
[4.8541020, 0, 3]
[5.0000000, 5, 0]
[5.2360680, 2, 2]
[5.6180340, 4, 1]
- Joerg Arndt, Aug 17 2012.
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PROG
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(PARI) /* see A215344 */
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CROSSREFS
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A215344 is the value of x.
Sequence in context: A091917 A025657 A025686 * A022329 A087466 A153248
Adjacent sequences: A215342 A215343 A215344 * A215346 A215347 A215348
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KEYWORD
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nonn
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AUTHOR
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Peter G. Anderson, Aug 08 2012
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STATUS
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approved
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