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 A371278 #23 Mar 19 2024 07:17:32 %S A371278 2,4,12,16,144,192,256,1728,3888,4320,6480,7200,11520,13122,14580, %T A371278 15360,20736,36864,49152,65536,107520,344064,384000,589824,691200, %U A371278 1244160,1259712,1327104,2211840,2304960,2963520,2985984,3932160,3981312,4478976,4500000 %N A371278 Numbers k > 1 such that k / A054841(k) is an integer. %e A371278 k = 144: A054841(144) = 24 because 144 = 3^2 * 2^4, 144/A054841(144) = 144/24 = 6, thus 144 is a term. %t A371278 q[n_] := Module[{f = FactorInteger[n]}, Divisible[n, Total[10^(PrimePi[f[[;; , 1]]] - 1) * f[[;; , 2]]]]]; q[1] = False; Select[Range[10^5], q] (* _Amiram Eldar_, Mar 17 2024 *) %o A371278 (Python) %o A371278 from sympy import factorint, primepi %o A371278 def ok(n): return n > 1 and n%sum(e*10**(primepi(p)-1) for p, e in factorint(n).items()) == 0 %o A371278 print([k for k in range(10**4) if ok(k)]) # _Michael S. Branicky_, Mar 17 2024 %Y A371278 Cf. A054841, A001146 (a subsequence). %K A371278 nonn %O A371278 1,1 %A A371278 _Ctibor O. Zizka_, Mar 17 2024 %E A371278 More terms from _Michel Marcus_, Mar 17 2024