login
A040505
Continued fraction for sqrt(528).
1
22, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44
OFFSET
0,1
FORMULA
From Colin Barker, Nov 10 2014: (Start)
a(n) = (45+43*(-1)^n)/2 for n>0.
a(n) = a(n-2) for n>2.
G.f.: -(22*x^2+x+22) / ((x-1)*(x+1)). (End)
From Amiram Eldar, Dec 26 2023: (Start)
Multiplicative with a(2^e) = 44, and a(p^e) = 1 for an odd prime p.
Dirichlet g.f.: zeta(s) * (1 + 43/2^s). (End)
MAPLE
with(numtheory): Digits := 300: convert(evalf(sqrt(528)), confrac);
MATHEMATICA
ContinuedFraction[Sqrt[528], 100] (* Amiram Eldar, Dec 26 2023 *)
PROG
(PARI) Vec(-(22*x^2+x+22)/((x-1)*(x+1)) + O(x^100)) \\ Colin Barker, Nov 10 2014
CROSSREFS
Sequence in context: A040503 A040504 A229555 * A040478 A040477 A040476
KEYWORD
nonn,cofr,easy,less,mult
STATUS
approved