# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a025610 Showing 1-1 of 1 %I A025610 #17 Sep 19 2022 09:57:30 %S A025610 1,2,4,6,8,12,16,24,32,36,48,64,72,96,128,144,192,216,256,288,384,432, %T A025610 512,576,768,864,1024,1152,1296,1536,1728,2048,2304,2592,3072,3456, %U A025610 4096,4608,5184,6144,6912,7776,8192,9216,10368,12288,13824,15552,16384,18432 %N A025610 Numbers of form 2^i*6^j, with i, j >= 0; equivalently, numbers of the form 2^i*3^j with 0 <= j <= i. %H A025610 Charles R Greathouse IV, Table of n, a(n) for n = 1..10000 %F A025610 From _Vaclav Kotesovec_, Sep 25 2020: (Start) %F A025610 a(n) ~ exp(sqrt(2*log(2)*log(6)*n)) / sqrt(12). %F A025610 Sum_{k>=1} 1/a(k) = 12/5. (End) %t A025610 n = 10^6; Flatten[Table[2^i*6^j, {i, 0, Log2[n]}, {j, 0, Log[6, n/2^i]}]] // Sort (* _Amiram Eldar_, Sep 26 2020 *) %o A025610 (PARI) list(lim)=my(v=List(),t); for(j=0,logint(lim\=1,6), t=6^j; while(t<=lim, listput(v,t); t<<=1)); Set(v) \\ _Charles R Greathouse IV_, Dec 14 2016 %Y A025610 Intersection of A025487 and A003586. %K A025610 easy,nonn %O A025610 1,2 %A A025610 _David W. Wilson_ # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE