A036287 - OEIS

A036287

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

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,1

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

Table of n, a(n) for n=0..7.

Antti Karttunen, C program related to this sequence

MATHEMATICA

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

PROG

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

CROSSREFS

Cf. A036286, A000045.

Sequence in context: A126883 A137810 A316577 * A116231 A195630 A136955

Adjacent sequences: A036284 A036285 A036286 * A036288 A036289 A036290

KEYWORD

nonn,frac

AUTHOR

Antti Karttunen

STATUS

approved