A108021 - OEIS

%I #8 Dec 02 2018 02:50:25

%S 1,1,2,5,21,170,5461,1398101,11453246122,24019198012642645,

%T 412646679761793424966374741,

%U 14867163465687082094357145515098907670653610,9202328462387418383246341149702700603268145296227182073550032298399061

%N Numbers n whose binary representation is the first Fibonacci(n) binary digits of the pattern 1010101010101010...

%e a(6)=170 because the sixth Fibonacci number is 8 and thus the first eight digits of the pattern give the binary number 10101010, which is 170 in base 10.

%e a(7) is the decimal translation of the first 13 (seventh Fibonacci number) digits of 101010..., giving 5461.

%t Module[{nn=20,p},p=PadRight[{},Fibonacci[nn],{1,0}];Table[ FromDigits[ Take[ p,n], 2],{n,Fibonacci[Range[nn]]}]] (* _Harvey P. Dale_, Apr 08 2015 *)

%K base,easy,nonn

%O 1,3

%A _Alexandre Wajnberg_, May 31 2005

%E Corrected and extended by _Harvey P. Dale_, Apr 08 2015