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A036414 Number of empty intervals when fractional_part(i GoldenRatio) for i = 1, ..., n is plotted along [ 0, 1 ] subdivided into n equal regions. +0
2
0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 3, 1, 2, 0, 3, 2, 4, 3, 1, 3, 3, 4, 3, 2, 4, 5, 0, 4, 5, 4, 8, 6, 6, 5, 2, 5, 5, 5, 5, 8, 5, 5, 4, 8, 6, 6, 5, 0, 6, 7, 8, 7, 6, 8, 8, 11, 9, 8, 10, 9, 4, 9, 9, 9, 8, 8, 9, 8, 12, 8, 8, 10, 9, 6, 9, 8, 11, 10, 8, 10, 10, 0, 10, 11, 9, 12, 12, 14 (list; graph; listen)
OFFSET

1,9

REFERENCES

H. Steinhaus, Mathematical Snapshots, 3rd American ed. New York: Oxford University Press, pp. 48-49, 1983.

LINKS

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

Eric Weisstein's World of Mathematics, Golden Ratio

CROSSREFS

Cf. A036415.

Sequence in context: A036431 A029407 A099544 this_sequence A049310 A168561 A036851

Adjacent sequences: A036411 A036412 A036413 this_sequence A036415 A036416 A036417

KEYWORD

nonn

AUTHOR

Eric Weisstein (eric(AT)weisstein.com)

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.


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