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A182773 Beatty sequence for 1+2^(2/3).

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%I A182773 #17 Feb 16 2025 08:33:13
%S A182773 2,5,7,10,12,15,18,20,23,25,28,31,33,36,38,41,43,46,49,51,54,56,59,62,
%T A182773 64,67,69,72,75,77,80,82,85,87,90,93,95,98,100,103,106,108,111,113,
%U A182773 116,119,121,124,126,129,131,134,137,139,142
%N A182773 Beatty sequence for 1+2^(2/3).
%C A182773 Let u=2^(1/3). Jointly rank {j*u} and {k/u} as in the first comment at A182760; a(n) is the position of n*u.
%H A182773 Paolo Xausa, <a href="/A182773/b182773.txt">Table of n, a(n) for n = 1..10000</a>
%H A182773 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/BeattySequence.html">Beatty Sequence</a>.
%H A182773 <a href="/index/Be#Beatty">Index entries for sequences related to Beatty sequences</a>.
%F A182773 a(n) = floor(n*(1+2^(2/3))).
%t A182773 Floor[Range[100]*(1 + 2^(2/3))] (* _Paolo Xausa_, Jul 09 2024 *)
%Y A182773 Cf. A005480, A182760, A182774.
%K A182773 nonn
%O A182773 1,1
%A A182773 _Clark Kimberling_, Nov 30 2010