A382713 Simple continued fraction expansion of sqrt(3/2).

1, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2

Offset: 0

Author

N. J. A. Sloane, Apr 08 2025

Keywords

• nonn
• cofr
• easy

Links

• Index entries for linear recurrences with constant coefficients, signature (0,1).

Crossrefs

Cf. A105397, A115754, A142238, A142239.

Essentially the same as A106469, A040003, A010694.

Programs

Maple

with(numtheory); cfrac (sqrt(3/2, 70, 'quotients');

Mathematica

PadRight[{1}, 100, {2, 4}] (* Paolo Xausa, Apr 14 2025 *)

Python

def A382713(n): return 1<<1+(n&1) if n else 1 # Chai Wah Wu, Apr 09 2025