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 A093710 #25 Aug 08 2025 09:10:16 %S A093710 1,2,3,4,6,7,8,14,23,26,28,30,33,34,35,39,42,43,51,53,58,61,62,63,64, %T A093710 66,68,70,73,77,80,83,93,94,106,108,111,114,115,116,126,131,132,133, %U A093710 134,136,137,147,149,153,155,156,169,172,175,180,185,187,191,195,206 %N A093710 Numbers k such that in their binary representation all numbers from 1 to k are contained in k!. %H A093710 David A. Corneth, <a href="/A093710/b093710.txt">Table of n, a(n) for n = 1..10000</a> (first 3773 terms from Amiram Eldar) %H A093710 David A. Corneth, <a href="/A093710/a093710.png">Plot of a(n+1)-a(n), n = 1..9999</a> %H A093710 David A. Corneth, <a href="/A093710/a093710_1.png">plot of a(n)/n, n = 1..10000</a> %F A093710 A092601(a(n)) = a(n). %e A093710 6 is in the sequence because 6! = 1011010000_2 which contains 4 = 100_2, 5 = 101_2 and 6 = 110_2 as a substring in the binary expansion. As it contains 4, 5 and 6 in binary it contains the binary expansion of every smaller number than 4 in its binary expansion. - _David A. Corneth_, Aug 05 2025 %Y A093710 Complement of A093711. %Y A093710 Cf. A000142, A007088, A036603, A072831, A092601. %K A093710 nonn,base %O A093710 1,2 %A A093710 _Reinhard Zumkeller_, Apr 11 2004