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 A063127 #19 Sep 22 2020 00:38:41 %S A063127 4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48,50, %T A063127 52,54,55,56,58,60,62,64,66,68,70,72,74,76,78,80,82,84,86,88,90,91,92, %U A063127 94,96,98,100,102,104,106,108,110,112,114,116,118,120,122,124,126,128 %N A063127 Composite numbers which in base 2 contain their largest proper factor as a substring. %C A063127 This is also the set of highest rolls that can be made with some number of platonic dice (dice which are platonic solids, considered to be the most "fair" dice). For instance, 22 is the highest roll with a die which is a dodecahedron, a cubic die, and a tetrahedral die. - _Joshua R. Tint_, Sep 08 2020 %C A063127 Contains every even number > 2. Odd terms are A063131. - _David A. Corneth_, Sep 09 2020 %e A063127 55 is in the sequence as 55 = 110111_2 and the largest proper divisor of 55 is 11 and 11 = 1011_2 which is contained in 110111_2. - _David A. Corneth_, Sep 08 2020 %t A063127 Do[ If[ !PrimeQ[ n ] && StringPosition[ ToString[ FromDigits[ IntegerDigits[ n, 2 ] ] ], ToString[ FromDigits[ IntegerDigits[ Divisors[ n ] [ [ -2 ] ], 2 ] ] ] ] != {}, Print[ n ] ], {n, 2, 150} ] %Y A063127 Cf. A062238, A063131. %K A063127 nonn,easy,base %O A063127 1,1 %A A063127 _Robert G. Wilson v_, Aug 08 2001