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 A322449 #21 Aug 25 2024 21:16:33 %S A322449 1,16,64,81,256,512,625,729,1024,1296,2401,4096,5184,6561,10000,11664, %T A322449 14641,15625,16384,19683,20736,28561,32768,38416,40000,41472,46656, %U A322449 50625,59049,65536,82944,83521,104976,117649,130321,153664,160000,186624,194481,234256 %N A322449 Numbers whose prime factorization contains only composite exponents. %C A322449 Differs from A117453 first at n = 13: a(13) = 5184 = 2^6 * 3^4, A117453(13) = 6561 = 3^8. %H A322449 Alois P. Heinz, <a href="/A322449/b322449.txt">Table of n, a(n) for n = 1..10000</a> %F A322449 Sum_{n>=1} 1/a(n) = Product_{p prime} (1 + Sum_{k in A002808} 1/p^k) = 1.1028952548... . - _Amiram Eldar_, Jul 02 2022 %e A322449 5184 = 2^6 * 3^4 is a term because all exponents are composite numbers. %e A322449 1 is a term, because it has no prime factorization, and "the empty set has every property". - _N. J. A. Sloane_, Aug 25 2024 %t A322449 Join[{1},Select[Range[250000],AllTrue[FactorInteger[#][[;;,2]],CompositeQ]&]] (* _Harvey P. Dale_, Aug 25 2024 *) %Y A322449 Cf. A002808, A117453, A322448. %K A322449 nonn %O A322449 1,2 %A A322449 _Alois P. Heinz_, Dec 08 2018