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%I #17 Apr 07 2020 22:53:07
%S 2,14930352,267914296,956722026041,781774079430987230203437,
%T 178890334785183168257455287891792,
%U 57602132235424755886206198685365216,55835073295300465536628086585786672357234389,15156039800290547036315704478931467953361427680642
%N Fibonacci numbers corresponding to the indices mentioned in A214852.
%C The data correspond to the 3rd, 36th, 42nd, 59th, 116th, 156th, 168th, 211th, 237th Fibonacci numbers.
%C Intersection of A000045 and A031443. - _Michel Marcus_, Jul 31 2015
%F a(n) = A000045(A214852(n)).
%e a(2) = F(36) = 14930352 = 111000111101000110110000_2 has an equal number of 0's and 1's.
%o (Python)
%o f1=1; f2=1
%o while f1>0:
%o ....f3=f1+f2
%o ....c = bin(f3).split('b')[1]
%o ....if c.count("1")==c.count("0"):
%o ........print(f3)
%o ....f1=f2; f2=f3
%Y Cf. A000045, A031443, A214852.
%K nonn,easy,base
%O 1,1
%A _Abhiram R Devesh_, Jun 26 2015
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