%I #25 Jul 05 2024 07:18:30

%S 4,8,12,16,20,24,28,33,37,41,45,49,53,57,62,66,70,74,78,82,86,91,95,

%T 99,103,107,111,115,120,124,128,132,136,140,144,149,153,157,161,165,

%U 169,173,178,182,186,190,194,198,202,207,211,215,219,223,227,231,236

%N Beatty sequence for 1 + Pi.

%H Harry J. Smith, <a href="/A059532/b059532.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 Floor[Range[100]*(1 + Pi)] (* _Paolo Xausa_, Jul 05 2024 *)

%o (PARI) { default(realprecision, 100); b=1 + Pi; for (n = 1, 2000, write("b059532.txt", n, " ", floor(n*b)); ) } \\ _Harry J. Smith_, Jun 27 2009

%Y Beatty complement is A059531.

%K nonn,easy

%O 1,1

%A _Mitch Harris_, Jan 22 2001