cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A109259 a(n) = floor(n*sqrt(2)^sqrt(2)).

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%I A109259 #16 Feb 16 2025 08:32:58
%S A109259 1,3,4,6,8,9,11,13,14,16,17,19,21,22,24,26,27,29,31,32,34,35,37,39,40,
%T A109259 42,44,45,47,48,50,52,53,55,57,58,60,62,63,65,66,68,70,71,73,75,76,78,
%U A109259 79,81,83,84,86,88,89,91,93,94,96,97,99,101,102,104
%N A109259 a(n) = floor(n*sqrt(2)^sqrt(2)).
%C A109259 Beatty sequence for sqrt(2)^sqrt(2) = 1.63252...; complement of A109260.
%H A109259 G. C. Greubel, <a href="/A109259/b109259.txt">Table of n, a(n) for n = 1..10000</a>
%H A109259 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/BeattySequence.html">Beatty Sequence</a>
%H A109259 <a href="/index/Be#Beatty">Index entries for sequences related to Beatty sequences</a>
%t A109259 With[{c=(Sqrt[2])^Sqrt[2]},Floor[c*Range[100]]] (* _Harvey P. Dale_, Mar 19 2018 *)
%o A109259 (PARI) for(n=1,100, print1(floor(n*sqrt(2)^sqrt(2)), ", ")) \\ _G. C. Greubel_, Mar 27 2018
%o A109259 (Magma) [Floor(n*Sqrt(2)^Sqrt(2)): n in [1..100]]; // _G. C. Greubel_, Mar 27 2018
%Y A109259 Cf. A078333, A109261, A038127.
%K A109259 nonn
%O A109259 1,2
%A A109259 _Reinhard Zumkeller_, Jun 23 2005