A040137 Continued fraction for sqrt(150).

12, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4

Offset

0,1

Links

Table of n, a(n) for n=0..73.

Index entries for continued fractions for constants

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

Maple

Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'):

Mathematica

Block[{$MaxExtraPrecision=1000}, ContinuedFraction[Sqrt[150], 300]] (* Vladimir Joseph Stephan Orlovsky, Mar 13 2011*) (* Program modified by Harvey P. Dale, Feb 16 2025 *)
PadRight[{12}, 120, {24, 4}] (* Harvey P. Dale, Feb 16 2025 *)

Prog

(Python)
from sympy import sqrt
from sympy.ntheory.continued_fraction import continued_fraction_iterator
def aupton(nn):
    gen = continued_fraction_iterator(sqrt(150))
    return [next(gen) for i in range(nn+1)]
print(aupton(73)) # Michael S. Branicky, Dec 04 2021
(Python) # second version based on recurrence
def a(n): return 12 if n == 0 else [4, 24][(n-1)%2]
print([a(n) for n in range(74)]) # Michael S. Branicky, Dec 04 2021

Crossrefs

Sequence in context: A339467 A199693 A166206 * A092237 A367323 A081987

Adjacent sequences: A040134 A040135 A040136 * A040138 A040139 A040140

Keyword

nonn,cofr,easy

Author

N. J. A. Sloane.

Status

approved