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 A040137 Continued fraction for sqrt(150). 0
 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 (list; graph; refs; listen; history; text; internal format)
 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[150], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 13 2011*) 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

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Last modified September 19 12:50 EDT 2024. Contains 376012 sequences. (Running on oeis4.)