A068432 Expansion of golden ratio (1 + sqrt(5))/2 in base 2.

1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0

Offset

1,1

Comments

Differs from A004555 in the 2nd digit. - R. J. Mathar, Dec 15 2008

Links

Table of n, a(n) for n=1..105.

Example

1.1001111000110111011110011011100101...

Mathematica

RealDigits[ (1+Sqrt[5])/2, 2, 1000][[1]]

Prog

(PARI) concat(binary((1+sqrt(5))/2)) \\ Michel Marcus, Dec 14 2017
(PARI) a(n) = floor(quadgen(5)*2^(n-1))%2 \\ Chittaranjan Pardeshi, Feb 06 2023

Crossrefs

Cf. A001622, A004555, A004714, A169868.

Sequence in context: A286749 A359374 A188192 * A134668 A309970 A039963

Adjacent sequences: A068429 A068430 A068431 * A068433 A068434 A068435

Keyword

base,cons,easy,nonn

Author

Benoit Cloitre, Mar 09 2002

Status

approved