A036287 a(n) = ((2^(3*(2^n))) - 1).

7, 63, 4095, 16777215, 281474976710655, 79228162514264337593543950335, 6277101735386680763835789423207666416102355444464034512895, 39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306815

Offset: 0

Author

Antti Karttunen

Keywords

• nonn
• frac

Comments

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.

Links

• Antti Karttunen, C program related to this sequence

Crossrefs

Cf. A036286, A000045.

Programs

Mathematica

2^(3 2^Range[0,10])-1 (* Harvey P. Dale, Jun 19 2011 *)

PARI

A036287(n) = ((2^(3*(2^n))) - 1); \\ Antti Karttunen, Jan 14 2024