A108021 Numbers n whose binary representation is the first Fibonacci(n) binary digits of the pattern 1010101010101010...

1, 1, 2, 5, 21, 170, 5461, 1398101, 11453246122, 24019198012642645, 412646679761793424966374741, 14867163465687082094357145515098907670653610, 9202328462387418383246341149702700603268145296227182073550032298399061

Offset

1,3

Links

Table of n, a(n) for n=1..13.

Example

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

Mathematica

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 *)

Crossrefs

Sequence in context: A358316 A176527 A117261 * A162437 A357871 A216756

Adjacent sequences: A108018 A108019 A108020 * A108022 A108023 A108024

Keyword

base,easy,nonn

Author

Alexandre Wajnberg, May 31 2005

Extensions

Corrected and extended by Harvey P. Dale, Apr 08 2015

Status

approved