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 A325431 #10 Sep 20 2020 12:12:44 %S A325431 1,2,5,7,9,10,11,12,13,14,16,17,18,19,22,23,24,25,26,29,31,32,34,35, %T A325431 37,38,41,43,45,46,47,49,50,53,55,58,59,60,61,62,63,65,67,70,71,73,74, %U A325431 77,79,80,81,82,83,84,85,86,89,90,91,94,95,97,98,99,101 %N A325431 a(n) is the least number not 3*a(m) or 4*a(m) for any m < n. %C A325431 Equivalently, numbers k whose exponent of the highest power of 3 dividing k and exponent of the highest power of 4 dividing k have the same parity. The asymptotic density of this sequence is 13/20. - _Amiram Eldar_, Sep 20 2020 %H A325431 Clark Kimberling, <a href="/A325431/b325431.txt">Table of n, a(n) for n = 1..10000</a> %e A325431 The sequence necessarily starts with 1. The next 2 terms are determined as follows: because a(1) = 1, the numbers 3 and 4 are disallowed, so that a(2) = 2, whence the numbers 6 and 8 are disallowed, and a(3) = 5. See A325417 for a guide to related sequences. %t A325431 a = {1}; Do[AppendTo[a, NestWhile[# + 1 &, Last[a] + 1, Apply[Or, %t A325431 Map[MemberQ[a, #] &, Select[Flatten[{#/3, #/4}], %t A325431 IntegerQ]]] &]], {150}]; a (* A325431 *) %t A325431 Complement[Range[Last[a]], a] (* A325432 *) %t A325431 (* _Peter J. C. Moses_, Apr 25 2019 *) %t A325431 Select[Range[100], Equal @@ Mod[IntegerExponent[#, {3, 4}], 2] &] (* _Amiram Eldar_, Sep 20 2020 *) %Y A325431 Cf. A325417, A325432. %K A325431 nonn,easy %O A325431 1,2 %A A325431 _Clark Kimberling_, May 01 2019