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 A059542 #25 Feb 16 2025 08:32:43 %S A059542 2,4,7,9,12,14,17,19,21,24,26,29,31,34,36,39,41,43,46,48,51,53,56,58, %T A059542 61,63,65,68,70,73,75,78,80,83,85,87,90,92,95,97,100,102,105,107,109, %U A059542 112,114,117,119,122,124,127,129,131,134,136,139,141,144,146,149,151 %N A059542 Beatty sequence for 1 + 1/log(2). %H A059542 Harry J. Smith, <a href="/A059542/b059542.txt">Table of n, a(n) for n = 1..2000</a> %H A059542 Aviezri S. Fraenkel, Jonathan Levitt, 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 A059542 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/BeattySequence.html">Beatty Sequence.</a> %H A059542 <a href="/index/Be#Beatty">Index entries for sequences related to Beatty sequences</a> %F A059542 a(n) = floor(n*(1+1/log(2))). - _Michel Marcus_, Jan 04 2015 %F A059542 a(n) = n+A307513(n). - _R. J. Mathar_, Jan 04 2020 %t A059542 Floor[Range[100]*(1 + 1/Log[2])] (* _Paolo Xausa_, Jul 05 2024 *) %o A059542 (PARI) { default(realprecision, 100); b=1 + 1/log(2); for (n = 1, 2000, write("b059542.txt", n, " ", floor(n*b)); ) } \\ _Harry J. Smith_, Jun 28 2009 %Y A059542 Beatty complement is A059541. %Y A059542 Cf. A002162, A007525. %K A059542 nonn,easy %O A059542 1,1 %A A059542 _Mitch Harris_, Jan 22 2001