%I #22 Sep 08 2022 08:45:03
%S 1,3,5,7,8,10,12,14,16,17,19,21,23,24,26,28,30,32,33,35,37,39,40,42,
%T 44,46,48,49,51,53,55,56,58,60,62,64,65,67,69,71,73,74,76,78,80,81,83,
%U 85,87,89,90,92,94,96,97,99,101,103,105,106,108,110,112,113,115,117
%N Beatty sequence for e^gamma (gamma is the Euler-Mascheroni constant A001620).
%H Harry J. Smith, <a href="/A059565/b059565.txt">Table of n, a(n) for n = 1..2000</a>
%H 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.
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/BeattySequence.html">Beatty Sequence.</a>
%H <a href="/index/Be#Beatty">Index entries for sequences related to Beatty sequences</a>
%t Table[ Floor[ n * E^EulerGamma], {n, 1, 70} ]
%o (PARI) { default(realprecision, 100); b=exp(1)^Euler; for (n = 1, 2000, write("b059565.txt", n, " ", floor(n*b)); ) } \\ _Harry J. Smith_, Jun 28 2009
%o (Magma) R:=RealField(100); [Floor(Exp(EulerGamma(R))*n): n in [1..100]]; // _G. C. Greubel_, Aug 27 2018
%Y Cf. A073004. Beatty complement is A059566.
%K nonn,easy
%O 1,2
%A _Mitch Harris_, Jan 22 2001