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

Author

Benoit Cloitre, Mar 09 2002

Keywords

• base
• cons
• easy
• nonn

Comments

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

Examples

			1.1001111000110111011110011011100101...
		

Crossrefs

Cf. A001622, A004555, A004714, A169868.

Programs

Mathematica

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

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