A202108 Expansion of 4/sqrt(phi) in base phi, where phi=(1+sqrt(5))/2.

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

Offset

2,1

Comments

4/sqrt(phi) = 3.14460551102... is an approximation to Pi obtained by dividing a square into 16 parts.

Links

Table of n, a(n) for n=2..112.

Example

sqrt(16/((sqrt(5)+1)/2)) = 10.00100101010100101010000000000010010000101010000000010000100000\
10000100101001000100101001000100010010000001010... in base phi.

Mathematica

RealDigits[Sqrt[16/GoldenRatio], GoldenRatio, 111][[1]]

Crossrefs

Cf. A202142.

Sequence in context: A290098 A102243 A173859 * A287530 A104108 A267056

Adjacent sequences: A202105 A202106 A202107 * A202109 A202110 A202111

Keyword

base,cons,nonn

Author

Ville Takio, Dec 11 2011

Extensions

Entry revised by N. J. A. Sloane, Dec 12 2011 and Apr 03 2016.

Status

approved