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A040533
Continued fraction for sqrt(557).
1
23, 1, 1, 1, 1, 46, 1, 1, 1, 1, 46, 1, 1, 1, 1, 46, 1, 1, 1, 1, 46, 1, 1, 1, 1, 46, 1, 1, 1, 1, 46, 1, 1, 1, 1, 46, 1, 1, 1, 1, 46, 1, 1, 1, 1, 46, 1, 1, 1, 1, 46, 1, 1, 1, 1, 46, 1, 1, 1, 1, 46, 1, 1, 1, 1, 46, 1, 1, 1, 1, 46, 1, 1, 1, 1, 46, 1, 1, 1, 1, 46, 1, 1, 1, 1
OFFSET
0,1
FORMULA
a(n) = 1 + 45*(floor(n/5) - floor((n-1)/5)) for n>0 with a(0) = 23. - Wesley Ivan Hurt, Apr 09 2017
From Amiram Eldar, Dec 26 2023: (Start)
Multiplicative with a(5^e) = 46, and a(p^e) = 1 for p != 5.
Dirichlet g.f.: zeta(s) * (1 + 9/5^(s-1)). (End)
MAPLE
with(numtheory): Digits := 300: convert(evalf(sqrt(557)), confrac);
MATHEMATICA
ContinuedFraction[Sqrt[557], 100] (* Amiram Eldar, Dec 26 2023 *)
PROG
(PARI) contfrac(sqrt(557)) \\ Michel Marcus, Apr 09 2017
CROSSREFS
Sequence in context: A114784 A141517 A040534 * A191816 A040535 A040536
KEYWORD
nonn,cofr,easy,less,mult
STATUS
approved