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Floor[Range[100]*(1 + 1/Pi)] (* Paolo Xausa, Jul 05 2024 *)
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Beatty sequence for 1 + 1/Pi.
Harry J. Smith, <a href="/A059531/b059531.txt">Table of n, a(n) for n = 1,...,2000</a>
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Fraenkel, Aviezri S.; Levitt, Jonathan; Shimshoni, Michael; Characterization of the set of values f(n)=[n alpha], n=1,2,... Discrete Math.2 (1972), no.4,335-345.
Aviezri S. Fraenkel, Jonathan Levitt, Michael Shimshoni, <a href="http://dx.doi.org/10.1016/0012-365X(72)90012-X">Characterization of the set of values f(n)=[n alpha], n=1,2,...</a>, Discrete Math. 2 (1972), no.4, 335-345.
(PARI) { default(realprecision, 100); b=1 + 1/Pi; for (n = 1, 2000, write("b059531.txt", n, " ", floor(n*b)); ) } [From _\\ _Harry J. Smith_, Jun 27 2009]
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Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/BeattySequence.html">Beatty Sequence.</a>
Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/BeattySequence.html">Link to a section of The World of Mathematics.</a>
Mitch Harris, Jan 22, 2001
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