%I A055792
%S A055792 0,1,9,289,9801,332929,11309769,384199201,13051463049,443365544449,
%T A055792 15061377048201,511643454094369,17380816062160329,590436102659356801,
%U A055792 20057446674355970889,681362750825443653409,23146276081390728245001
%N A055792 a(n) and floor[a(n)/2] are both squares; i.e. squares which remain squares 
               when written in base 2 and last digit is removed.
%F A055792 a(n) = 34a(n-1)-a(n-2)-16 = A001541(n-1)^2 = 2*A001542(n-1)^2+1 = 8*A001110(n-1)+1
%e A055792 a(2) = 9 because 9 = 3^2 = 1001 base 2 and 100 base 2 = 4 = 2^2
%Y A055792 Cf. A023110.
%Y A055792 Sequence in context: A110553 A118893 A078326 this_sequence A053935 A086699 
               A027834
%Y A055792 Adjacent sequences: A055789 A055790 A055791 this_sequence A055793 A055794 
               A055795
%K A055792 base,nonn
%O A055792 0,3
%A A055792 Henry Bottomley (se16(AT)btinternet.com), Jul 14 2000