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 A115354 #12 Feb 16 2025 08:33:00 %S A115354 2,17,108,153,297,657,1764,2052,4644,6156,10800,16200,22932,29000, %T A115354 11025,54225,92025,68796,100548,99225,44100,88200,264600,431244, %U A115354 176400,441000,666468,1151172,352800,617400,396900,926100,980100,793800,1234800 %N A115354 a(n) is the smallest number representable in exactly n ways as a sum of 2 powerful(1) numbers. %C A115354 Here we are considering powerful numbers (first definition) A001694. Note that, by definition, 1 is powerful. %H A115354 Donovan Johnson, <a href="/A115354/b115354.txt">Table of n, a(n) for n = 1..120</a> %H A115354 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PowerfulNumber.html">Powerful Number.</a> %e A115354 a(2)=17, since 17 = 16+1 = 8+9. %t A115354 pwfQ[n_] := n == 1 || Min[Transpose[FactorInteger@n][[2]]] > 1; lim=200000; pt = Select[Range[lim], pwfQ]; t = Table[0, {i, lim}]; Do[v = pt[[i]]+ pt[[j]]; If[v<=lim, t[[v]]++ ], {i, Length@pt}, {j, i}]; Table[Position[t, k][[1, 1]], {k, 22}] %Y A115354 Cf. A001694, A085252, A085253, A085254, A085255, A063274, A115355. %K A115354 nonn %O A115354 1,1 %A A115354 _Giovanni Resta_, Jan 21 2006 %E A115354 a(23)-a(35) from _Donovan Johnson_, Dec 07 2008