%I #20 Jan 14 2024 08:06:59
%S 7,63,4095,16777215,281474976710655,79228162514264337593543950335,
%T 6277101735386680763835789423207666416102355444464034512895,
%U 39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306815
%N a(n) = ((2^(3*(2^n))) - 1).
%C Also "Denominators for Fibonacci Binary Verticals viewed as Periodic Binary Fractions": The cycle of bit-n of Fibonacci numbers in binary is (3*(2^n)). Looking from top to bottom they can be viewed as non-finite periodic binary fractions, with each fraction computed as the n-th element of A036286 divided by the n-th element of A036287.
%H Antti Karttunen, <a href="/A036284/a036284.c.txt">C program related to this sequence</a>
%t 2^(3 2^Range[0,10])-1 (* _Harvey P. Dale_, Jun 19 2011 *)
%o (PARI) A036287(n) = ((2^(3*(2^n))) - 1); \\ _Antti Karttunen_, Jan 14 2024
%Y Cf. A036286, A000045.
%K nonn,frac
%O 0,1
%A _Antti Karttunen_