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 A219735 #19 Apr 23 2015 19:26:22
%S A219735 1,2,4,64,65536,17592186044416,1329227995784915872903807060280344576
%N A219735 a(n) = (a(n-2) * a(n-1))^2, with a(0) = 1 and a(1) = 2.
%C A219735 Every one of these numbers is a power of 2.
%F A219735 a(n) = 2^A002605(n).
%t A219735 RecurrenceTable[{a[0]==1,a[1]==2,a[n]==(a[n-1]*a[n-2])^2},a,{n,7}] (* _Harvey P. Dale_, Apr 23 2015 *)
%Y A219735 Cf. A000079.
%K A219735 nonn
%O A219735 0,2
%A A219735 _Dhilan Lahoti_, Nov 26 2012