A010197 - OEIS

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A010197

Continued fraction for sqrt(138).

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,1

LINKS

Table of n, a(n) for n=0..71.

G. Xiao, Contfrac.

Index entries for continued fractions for constants.

Index entries for linear recurrences with constant coefficients, signature (0,0,0,1).

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)