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A109260 a(n) = floor(n*sqrt(2)^sqrt(2)/(sqrt(2)^sqrt(2)-1)).

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%I A109260 #14 Feb 16 2025 08:32:58
%S A109260 2,5,7,10,12,15,18,20,23,25,28,30,33,36,38,41,43,46,49,51,54,56,59,61,
%T A109260 64,67,69,72,74,77,80,82,85,87,90,92,95,98,100,103,105,108,110,113,
%U A109260 116,118,121,123,126,129,131,134,136,139,141,144,147,149
%N A109260 a(n) = floor(n*sqrt(2)^sqrt(2)/(sqrt(2)^sqrt(2)-1)).
%C A109260 Beatty sequence for sqrt(2)^sqrt(2)/(sqrt(2)^sqrt(2)-1); complement of A109259.
%H A109260 G. C. Greubel, <a href="/A109260/b109260.txt">Table of n, a(n) for n = 1..10000</a>
%H A109260 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/BeattySequence.html">Beatty Sequence</a>
%H A109260 <a href="/index/Be#Beatty">Index entries for sequences related to Beatty sequences</a>
%t A109260 Table[Floor[n*Sqrt[2]^Sqrt[2]/(Sqrt[2]^Sqrt[2] - 1)], {n, 1, 100}] (* _G. C. Greubel_, Aug 17 2018 *)
%o A109260 (PARI) for(n=1,100, print1(floor(n*sqrt(2)^sqrt(2)/(sqrt(2)^sqrt(2)-1)), ", ")) \\ _G. C. Greubel_, Aug 17 2018
%o A109260 (Magma) [Floor(n*Sqrt(2)^Sqrt(2)/(Sqrt(2)^Sqrt(2) - 1)): n in [1..100]]; // _G. C. Greubel_, Aug 17 2018
%Y A109260 Cf. A109261.
%K A109260 nonn
%O A109260 1,1
%A A109260 _Reinhard Zumkeller_, Jun 23 2005