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.
%I A059536 #24 Feb 16 2025 08:32:43 %S A059536 2,5,7,10,12,15,17,20,22,25,28,30,33,35,38,40,43,45,48,51,53,56,58,61, %T A059536 63,66,68,71,73,76,79,81,84,86,89,91,94,96,99,102,104,107,109,112,114, %U A059536 117,119,122,124,127,130,132,135,137,140,142,145,147,150,153,155,158 %N A059536 Beatty sequence for zeta(2)/(zeta(2)-1). %H A059536 Harry J. Smith, <a href="/A059536/b059536.txt">Table of n, a(n) for n = 1..2000</a> %H A059536 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 A059536 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/BeattySequence.html">Beatty Sequence</a>. %H A059536 <a href="/index/Be#Beatty">Index entries for sequences related to Beatty sequences</a>. %F A059536 a(n) = floor(n*zeta(2)/(zeta(2)-1)). - _Michel Marcus_, Jan 05 2015 %t A059536 Floor[Range[100]*Zeta[2]/(Zeta[2] - 1)] (* _Paolo Xausa_, Jul 06 2024 *) %o A059536 (PARI) { default(realprecision, 100); b=zeta(2)/(zeta(2) - 1); for (n = 1, 2000, write("b059536.txt", n, " ", floor(n*b)); ) } \\ _Harry J. Smith_, Jun 27 2009 %Y A059536 Cf. A013661. Beatty complement is A059535. %K A059536 nonn,easy %O A059536 1,1 %A A059536 _Mitch Harris_, Jan 22 2001