login
A010197
Continued fraction for sqrt(138).
1
11, 1, 2, 1, 22, 1, 2, 1, 22, 1, 2, 1, 22, 1, 2, 1, 22, 1, 2, 1, 22, 1, 2, 1, 22, 1, 2, 1, 22, 1, 2, 1, 22, 1, 2, 1, 22, 1, 2, 1, 22, 1, 2, 1, 22, 1, 2, 1, 22, 1, 2, 1, 22, 1, 2, 1, 22, 1, 2, 1, 22, 1, 2, 1, 22, 1, 2, 1, 22, 1, 2, 1
OFFSET
0,1
FORMULA
From Amiram Eldar, Nov 15 2023: (Start)
Multiplicative with a(2) = 2, a(2^e) = 22 for e >= 2, and a(p^e) = 1 for an odd prime p.
Dirichlet g.f.: zeta(s) * (1 + 1/2^s + 5/4^(s-1)). (End)
a(n) = a(n-4) for n>4 with a(0)=11, a(1) = a(3) = 1, a(2) = 2, a(4) = 22. - Wesley Ivan Hurt, Dec 31 2023
MATHEMATICA
ContinuedFraction[Sqrt[138], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 13 2011 *)
CROSSREFS
Sequence in context: A015125 A290552 A159861 * A010196 A039617 A229186
KEYWORD
nonn,cofr,easy,mult
STATUS
approved