[go: up one dir, main page]

login
A040270
Continued fraction for sqrt(287).
1
16, 1, 15, 1, 32, 1, 15, 1, 32, 1, 15, 1, 32, 1, 15, 1, 32, 1, 15, 1, 32, 1, 15, 1, 32, 1, 15, 1, 32, 1, 15, 1, 32, 1, 15, 1, 32, 1, 15, 1, 32, 1, 15, 1, 32, 1, 15, 1, 32, 1, 15, 1, 32, 1, 15, 1, 32, 1, 15, 1, 32, 1, 15, 1, 32, 1, 15, 1, 32, 1, 15, 1, 32, 1, 15
OFFSET
0,1
FORMULA
From Amiram Eldar, Dec 10 2023: (Start)
Multiplicative with a(2) = 15, a(2^e) = 32 for e >= 2, and a(p^e) = 1 for p >= 5.
Dirichlet g.f.: zeta(s) * (1 + 7/2^(s-1) + 17/4^s). (End)
MAPLE
with(numtheory): Digits := 300: convert(evalf(sqrt(287)), confrac);
MATHEMATICA
ContinuedFraction[Sqrt[287], 120] (* or *) PadRight[{16}, 120, {32, 1, 15, 1}] (* Harvey P. Dale, Sep 15 2017 *)
CROSSREFS
Sequence in context: A040269 A360028 A141682 * A303327 A070539 A301909
KEYWORD
nonn,cofr,easy,mult
STATUS
approved