|
%I M0948 N0355 #40 Sep 08 2022 08:44:27
%S 1,2,4,5,6,8,9,11,12,13,15,16,18,19,20,22,23,25,26,27,29,30,32,33,34,
%T 36,37,38,40,41,43,44,45,47,48,50,51,52,54,55,57,58,59,61,62,64,65,66,
%U 68,69,71,72,73,75,76,77,79,80,82,83,84,86,87,89,90,91,93,94,96,97,98
%N A Beatty sequence: a(n) = floor(n/(e-2)).
%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H Christian G. Bower, <a href="/A000062/b000062.txt">Table of n, a(n) for n = 1..1000</a>
%H I. G. Connell, <a href="http://dx.doi.org/10.4153/CMB-1959-025-0">Some properties of Beatty sequences I</a>, Canad. Math. Bull., 2 (1959), 190-197.
%H I. G. Connell, <a href="http://dx.doi.org/10.4153/CMB-1960-004-2">Some properties of Beatty sequences II</a>, Canad. Math. Bull., 3 (1960), 17-22.
%H J. Lambek and L. Moser, <a href="http://www.jstor.org/stable/2308078">Inverse and complementary sequences of natural numbers</a>, Amer. Math. Monthly, 61 (1954), 454-458.
%H J. Lambek and L. Moser, <a href="http://dx.doi.org/10.4153/CMB-1959-013-x">On some two way classifications of integers</a>, Canad. Math. Bull. 2 (1959), 85-89.
%H <a href="/index/Be#Beatty">Index entries for sequences related to Beatty sequences</a>
%p for n from 1 to 200 do printf(`%d,`,floor( n/(exp(1)-2))) od:
%t Table[Floor[n/(E-2)],{n,100}] (* _Vladimir Joseph Stephan Orlovsky_, Jan 24 2012 *)
%o (PARI) a(n)=floor( n/(exp(1)-2) ) \\ Hauke Worpel (thebigh(AT)outgun.com), Jun 11 2008
%o (Magma) [Floor( n/(Exp(1)-2) ): n in [1..80]]; // _Vincenzo Librandi_, Mar 27 2015
%Y Cf. A194807 (1/(e-2)).
%K nonn
%O 1,2
%A _N. J. A. Sloane_
%E More terms from _James A. Sellers_, Feb 19 2001
|
