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.

A059553 Beatty sequence for Gamma(2/3).

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%I A059553 #28 Feb 16 2025 08:32:44
%S A059553 1,2,4,5,6,8,9,10,12,13,14,16,17,18,20,21,23,24,25,27,28,29,31,32,33,
%T A059553 35,36,37,39,40,41,43,44,46,47,48,50,51,52,54,55,56,58,59,60,62,63,64,
%U A059553 66,67,69,70,71,73,74,75,77,78,79,81,82,83,85,86,88,89,90,92,93,94,96
%N A059553 Beatty sequence for Gamma(2/3).
%H A059553 Harry J. Smith, <a href="/A059553/b059553.txt">Table of n, a(n) for n = 1..2000</a>
%H A059553 Aviezri S. Fraenkel, Jonathan Levitt and 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 A059553 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/BeattySequence.html">Beatty Sequence.</a>
%H A059553 <a href="/index/Be#Beatty">Index entries for sequences related to Beatty sequences</a>
%F A059553 a(n) = floor(n*Gamma(2/3)). - _Michel Marcus_, Jan 04 2015
%t A059553 Floor[Range[100]*Gamma[2/3]] (* _Paolo Xausa_, Jul 05 2024 *)
%o A059553 (PARI) { default(realprecision, 100); b=gamma(2/3); for (n = 1, 2000, write("b059553.txt", n, " ", floor(n*b)); ) } \\ _Harry J. Smith_, Jun 28 2009
%o A059553 (Magma) [Floor(n*Gamma(2/3)): n in [1..80]]; // _Vincenzo Librandi_, Jan 06 2015
%Y A059553 Beatty complement is A059554.
%Y A059553 Cf. A073006 (Gamma(2/3)).
%K A059553 nonn,easy
%O A059553 1,2
%A A059553 _Mitch Harris_, Jan 22 2001