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 A363088 #16 Jul 04 2023 23:55:34 %S A363088 1,2,3,8,9,10,14,15,16,20,21,22,26,27,28,29,33,34,35,39,40,41,45,46, %T A363088 47,52,53,54,58,59,60,64,65,66,70,71,72,73,77,78,79,83,84,85,89,90,91, %U A363088 96,97,98,102,103,104,108,109,110,114,115,116,117,121,122,123,127,128,129 %N A363088 Positive numbers k for which sin(k) >= cos(k). %C A363088 Terms of the sequence come in groups of 3 or 4 consecutive integers, with spaces between them of length 3 or 4. This is a direct consequence of the fact that 3 < Pi < 4. Across the entire infinite sequence, the percentage of groups of consecutive integers that have 4 members (and the percentage of spaces that are of length 4) is (Pi - 3)*100% = 14.1592653589...%. In the integers between 1 and 10^12, there are 159154943092 groups, of which 22535170725 are of length 4, a percentage of 14.1592653594...%, which matches Pi to 10 decimal places. %t A363088 Select[Range[200], Sin[# - Pi/4] > 0 &] (* _Vaclav Kotesovec_, Jul 01 2023 *) %Y A363088 Complement of A363089. %K A363088 nonn %O A363088 1,2 %A A363088 _Wolfe Padawer_, May 18 2023