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 A068936 #29 May 15 2025 00:57:05 %S A068936 1,4,8,16,27,32,48,64,72,81,96,108,128,144,162,192,216,243,256,288, %T A068936 320,324,384,432,486,512,576,640,648,729,768,800,864,972,1024,1152, %U A068936 1280,1296,1458,1536,1600,1728,1792,1944,2000,2048,2187,2304,2560,2592,2916 %N A068936 Numbers having the sum of distinct prime factors not greater than the sum of exponents in prime factorization, A008472(k) <= A001222(k). %C A068936 The product of any two terms is also a term. - _Amiram Eldar_, May 14 2025 %H A068936 Amiram Eldar, <a href="/A068936/b068936.txt">Table of n, a(n) for n = 1..10000</a> (terms 1..1000 from Reinhard Zumkeller) %e A068936 a(5) = 27 = 3^3, 3 = 3. %e A068936 a(10) = 81 = 3^4, 3 < 4. %e A068936 a(100) = 16000 = 2^7 * 5^3, 2+5 < 7+3. %e A068936 a(1000) = 10321920 = 2^15 * 3^2 * 5 * 7, 2+3+5+7 < 15+2+1+1. %t A068936 fQ[n_] := Block[{f = FactorInteger@n}, Plus @@ Last /@ f >= Plus @@ First /@ f]; Select[ Range@3000, fQ@ # &] (* _Robert G. Wilson v_, Jan 16 2006 *) %t A068936 Select[Range@ 3000, First@ Differences@ Map[Total, Transpose@ FactorInteger@ #] >= 0 &] (* _Michael De Vlieger_, Dec 08 2016 *) %o A068936 (Haskell) %o A068936 a068936 n = a068936_list !! (n-1) %o A068936 a068936_list = [x | x <- [1..], a008472 x <= a001222 x] %o A068936 -- _Reinhard Zumkeller_, Nov 10 2013 %o A068936 (PARI) isok(k) = {my(f = factor(k)); vecsum(f[,1]) <= bigomega(f);} \\ _Amiram Eldar_, May 14 2025 %Y A068936 Cf. A001222, A008472, A068935, A068937, A068938. %Y A068936 Subsequences: A054411, A100716, A257278. %K A068936 nonn %O A068936 1,2 %A A068936 _Reinhard Zumkeller_, Mar 08 2002 %E A068936 More terms from _Robert G. Wilson v_, Jan 16 2006