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 A051448 #19 Jul 02 2025 16:01:58 %S A051448 1,4,14,20,24,27,39,46,55,66,94,98,140,152,155,158,168,171,183,186, %T A051448 189,200,203,225,240,255,256,270,272,288,290,291,295,299,306,323,324, %U A051448 334,344,348,354,363,387,446,455,506,539,546,578,579,583,615,650,656,695 %N A051448 Sum of prime divisors of n (with multiplicity) is a square. %C A051448 Numbers k such that A001414(k) is a perfect square. - _Michel Lagneau_, May 28 2012 %H A051448 Harvey P. Dale, <a href="/A051448/b051448.txt">Table of n, a(n) for n = 1..1000</a> %e A051448 a(2) = 14 because 14 = 2*7 and 2 + 7 = 3^2. %p A051448 A:= proc(n) local e, j; e := ifactors(n)[2]: add (e[j][1]*e[j][2], j=1..nops(e)) end: %p A051448 for m from 1 to 1000 do: m2:=sqrt(A(m)):if m2=floor(m2) then printf(`%d, `, m):else fi:od: # _Michel Lagneau_, May 28 2012 %p A051448 # second Maple program: %p A051448 q:= n-> issqr(add(i[1]*i[2], i=ifactors(n)[2])): %p A051448 select(q, [$1..1000])[]; # _Alois P. Heinz_, Jan 24 2021 %t A051448 lst = {}; Do[ww = Transpose[FactorInteger[k]]; w = ww[[1]].ww[[2]]; If[IntegerQ[Sqrt[w]], AppendTo[lst, k]], {k, 1, 1000}]; lst (* _Michel Lagneau_, May 28 2012 *) %t A051448 Select[Range[700],IntegerQ[Sqrt[Total[Flatten[Table[#[[1]],#[[2]]]&/@ FactorInteger[ #]]]]]&] (* _Harvey P. Dale_, Dec 12 2018 *) %K A051448 easy,nonn %O A051448 1,2 %A A051448 Joe K. Crump (joecr(AT)carolina.rr.com) %E A051448 More terms from _James Sellers_, Sep 08 2000