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2^sqrt(2) is the Hilbert number (a.k.a. Gelfond - Schneider constant) (A007507).
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A Beatty sequence: a(n) = floor(n*2^sqrt(2)).
2^sqrt(2) is the Hilbert number (a.k.a. Gelfond - Schneider constant) (A007507).
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(MAGMAMagma) [Floor(n*2^(Sqrt(2))): n in [1..50]]; // G. C. Greubel, Mar 27 2018
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Floora(n) = floor(n*2^sqrt(2)).
G. C. Greubel, <a href="/A038127/b038127.txt">Table of n, a(n) for n = 0..10000</a>
(PARI) for(n=1, 50, print1(floor(n*2^(sqrt(2))), ", ")) \\ G. C. Greubel, Mar 27 2018
(MAGMA) [Floor(n*2^(Sqrt(2))): n in [1..50]]; // G. C. Greubel, Mar 27 2018
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Wikipedia, <a href="http://en.wikipedia.org/wiki/Hilbert_number">Hilbert number</refa>
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