A333451 Expansion of golden ratio (1 + sqrt(5))/2 in base 3.

1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0

Offset: 1

Author

William C. Laursen, Mar 21 2020

Keywords

• nonn
• base
• cons
• easy

Examples

			1.12120011220212102001021001...
		

Crossrefs

Cf. A001622, A068432, A164629, A333452, A333454.

Programs

Mathematica

RealDigits[ (1+Sqrt[5])/2, 3, 1000][[1]]

PARI

a(n) = floor(quadgen(5)*3^(n-1))%3 \\ Chittaranjan Pardeshi, Feb 06 2023