A040134 Continued fraction for sqrt(147).

12, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8

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

ContinuedFraction[Sqrt[147], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 13 2011*)
LinearRecurrence[{0, 1}, {12, 8, 24}, 80] (* or *) PadRight[{12}, 80, {24, 8}] (* Harvey P. Dale, Jun 11 2017 *)

Prog

(Python)
from sympy import sqrt
from sympy.ntheory.continued_fraction import continued_fraction_iterator
def aupton(nn):
    gen = continued_fraction_iterator(sqrt(147))
    return [next(gen) for i in range(nn+1)]
print(aupton(73)) # Michael S. Branicky, Dec 08 2021
(Python) # second version based on recurrence
def a(n): return 12 if n == 0 else [8, 24][(n-1)%2]
print([a(n) for n in range(74)]) # Michael S. Branicky, Dec 08 2021

Crossrefs

Sequence in context: A324976 A261402 A307171 * A258641 A206478 A164675

Adjacent sequences: A040131 A040132 A040133 * A040135 A040136 A040137

Keyword

nonn,cofr,easy

Author

N. J. A. Sloane.

Status

approved