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 A184923 #8 Jun 12 2025 08:32:37 %S A184923 1,4,6,10,11,14,17,20,21,25,28,30,34,35,38,41,44,45,49,51,54,58,59,62, %T A184923 65,68,69,72,75,78,79,83,86,88,92,93,96,99,102,103,107,109,112,116, %U A184923 117,120,123,126,127,131,133,136,137,141,144,146,150,151,154,157,160,161,165,168,170,174,175,178,181,184,185,189,191,194,198,199,202,204,208,209,212,215,218,219,223,226,228,232,233,236,239,242,243,247,249,252,256,257,260,263,266,267,270,273,276,277,281,284,286,290,291,294,297,300,301,305,307,310,314,315 %N A184923 a(n) = n+[r*n/u]+[s*n/u]+[t*n/u], where []=floor and r=2^(1/2), s=r+1, t=r+2, u=r+3. %C A184923 The sequences A184920-A184923 partition the positive integers: %C A184923 A184920: 7,15,24,31,40,48,55,64,... %C A184923 A184921: 3,8,13,18,23,27,32,37,... %C A184923 A184922: 2,5,9,12,16,19,22,26,29,... %C A184923 A184923: 1,4,6,10,11,14,17,20,21,... %C A184923 Jointly rank the sets {h*r}, {i*s}, {j*t}, {k*u}, where h>=1, i>=1, j>=1, k>=1. %C A184923 The position of n*u in the joint ranking is n+[r*n/u]+[s*n/u]+[t*n/u], and likewise for the positions of n*s, n*t, and n*u. %t A184923 (* See A184920 *) %Y A184923 Cf. A184912, A184920, A184921, A184922. %K A184923 nonn %O A184923 1,2 %A A184923 _Clark Kimberling_, Jan 26 2011