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 A197863 #32 Sep 01 2023 02:55:28 %S A197863 1,4,9,4,25,36,49,8,9,100,121,36,169,196,225,16,289,36,361,100,441, %T A197863 484,529,72,25,676,27,196,841,900,961,32,1089,1156,1225,36,1369,1444, %U A197863 1521,200,1681,1764,1849,484,225,2116,2209,144,49,100,2601,676,2809,108,3025 %N A197863 Smallest powerful number that is a multiple of n. %H A197863 Reinhard Zumkeller, <a href="/A197863/b197863.txt">Table of n, a(n) for n = 1..10000</a> %F A197863 Multiplicative with a(p^e) = p^max(e,2). %F A197863 Sum_{n>=1} 1/a(n) = Product_{p prime} (1 + (2*p-1)/(p^2*(p-1))) = 2.71098009471568319328... . - _Amiram Eldar_, Jul 29 2022 %F A197863 Sum_{k=1..n} a(k) ~ c * n^3, where c = (Pi^2/18) * Product_{p prime} (1 - 2/p^2 + 2/p^4 - 1/p^5) = 0.2165355664... . - _Amiram Eldar_, Nov 19 2022 %F A197863 a(n) = n * A055231(n). - _Amiram Eldar_, Sep 01 2023 %t A197863 With[{pwrnos=Join[{1},Select[Range[5000],Min[Transpose[ FactorInteger[#]] [[2]]]>1&]]},Flatten[Table[Select[pwrnos,Divisible[#,n]&,1],{n,60}]]] (* _Harvey P. Dale_, Aug 14 2012 *) %t A197863 f[p_, e_] := p^Max[e, 2]; a[n_] := Times @@ f @@@ FactorInteger[n]; Array[a, 100] (* _Amiram Eldar_, Jul 09 2022 *) %o A197863 (PARI) a(n)=local(fm=factor(n));prod(k=1,matsize(fm)[1],fm[k,1]^max(fm[k,2],2)) %o A197863 (Haskell) %o A197863 a197863 n = product $ %o A197863 zipWith (^) (a027748_row n) (map (max 2) $ a124010_row n) %o A197863 -- _Reinhard Zumkeller_, Jan 06 2012 %Y A197863 Cf. A055231, A087320, A001694, A086463. %Y A197863 Cf. A027748, A124010, A007948. %K A197863 nonn,easy,mult %O A197863 1,2 %A A197863 _Franklin T. Adams-Watters_, Oct 18 2011