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A040539
Continued fraction for sqrt(563).
1
23, 1, 2, 1, 2, 23, 2, 1, 2, 1, 46, 1, 2, 1, 2, 23, 2, 1, 2, 1, 46, 1, 2, 1, 2, 23, 2, 1, 2, 1, 46, 1, 2, 1, 2, 23, 2, 1, 2, 1, 46, 1, 2, 1, 2, 23, 2, 1, 2, 1, 46, 1, 2, 1, 2, 23, 2, 1, 2, 1, 46, 1, 2, 1, 2, 23, 2, 1, 2, 1, 46, 1, 2, 1, 2, 23, 2, 1, 2, 1, 46, 1, 2, 1, 2
OFFSET
0,1
FORMULA
From Amiram Eldar, Dec 27 2023: (Start)
Multiplicative with a(2^e) = 2, a(5^e) = 23, and a(p^e) = 1 for an odd p != 5.
Dirichlet g.f.: zeta(s) * (1 + 1/2^s) * (1 + 22/5^s). (End)
MAPLE
with(numtheory): Digits := 300: convert(evalf(sqrt(563)), confrac);
MATHEMATICA
ContinuedFraction[Sqrt[563], 100] (* Amiram Eldar, Dec 27 2023 *)
CROSSREFS
Sequence in context: A174729 A022186 A015151 * A040540 A089267 A040538
KEYWORD
nonn,cofr,easy,less,mult
STATUS
approved