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 A036414 Number of empty intervals when fractional_part(i*phi) for i = 1, ..., n is plotted along [ 0, 1 ] subdivided into n equal regions. 5
 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; refs; listen; history; text; internal format)
 OFFSET 1,9 REFERENCES H. Steinhaus, Mathematical Snapshots, 3rd American ed. New York: Oxford University Press, pp. 48-49, 1983. LINKS Ivan Neretin, Table of n, a(n) for n = 1..10000 Eric Weisstein's World of Mathematics, Equidistributed Sequence Eric Weisstein's World of Mathematics, Golden Ratio MATHEMATICA Table[Length@Complement[Range[n] - 1, Floor[n*FractionalPart[GoldenRatio*Range[n]]]], {n, 95}] (* Ivan Neretin, Jan 23 2018 *) Table[Count[BinCounts[FractionalPart[GoldenRatio Range[n]], {0, 1, 1/n}], 0], {n, 95}] (* Eric W. Weisstein, Apr 17 2024 *) CROSSREFS Cf. A036415 (positions of 0). Cf. similar sequences with other constants: A036412 (e), A036416 (Pi), A046157 (gamma). Sequence in context: A029407 A259285 A099544 * A234954 A321201 A180649 Adjacent sequences: A036411 A036412 A036413 * A036415 A036416 A036417 KEYWORD nonn,look AUTHOR Eric W. Weisstein STATUS approved

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Last modified September 15 16:35 EDT 2024. Contains 375938 sequences. (Running on oeis4.)