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 A382790 #12 Apr 15 2025 11:58:39
%S A382790 1,4,9,32,121,392,1352,5000,18432,69192,265837,1024144,3968064,
%T A382790 15523600,60972500,240413400,950612224,3767130288,14959246864,
%U A382790 59495990724,236902199076,944193944097,3765996039168,15029799230264,60010866324576,239700225078125,957712290743329
%N A382790 a(n) is the (2^n)-th powerful number.
%H A382790 Chai Wah Wu, <a href="/A382790/b382790.txt">Table of n, a(n) for n = 0..51</a> (terms 0..43 from Amiram Eldar)
%H A382790 <a href="/index/Pow#powerful">Index entries for sequences related to powerful numbers</a>.
%F A382790 a(n) = A001694(2^n).
%F A382790 a(n) ~ c * 4^n, where c = (zeta(3)/zeta(3/2))^2 = 1/A090699^2.
%t A382790 seq[max_] := Module[{p = Union@ Flatten@ Table[i^2*j^3, {j, 1, max^(1/3)}, {i, 1, Sqrt[max/j^3]}]}, p[[2^Range[0, Floor[Log2[Length[p]]]]]]]; seq[10^12]
%Y A382790 Cf. A001694, A062762, A090699, A376092.
%K A382790 nonn
%O A382790 0,2
%A A382790 _Amiram Eldar_, Apr 05 2025