A040411 - OEIS

A040411

Continued fraction for sqrt(432).

20, 1, 3, 1, 1, 1, 3, 1, 40, 1, 3, 1, 1, 1, 3, 1, 40, 1, 3, 1, 1, 1, 3, 1, 40, 1, 3, 1, 1, 1, 3, 1, 40, 1, 3, 1, 1, 1, 3, 1, 40, 1, 3, 1, 1, 1, 3, 1, 40, 1, 3, 1, 1, 1, 3, 1, 40, 1, 3, 1, 1, 1, 3, 1, 40, 1, 3, 1, 1, 1, 3, 1, 40, 1, 3, 1, 1, 1, 3, 1, 40, 1, 3, 1, 1, 1, 3, 1

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OFFSET

0,1

LINKS

Table of n, a(n) for n=0..87.

Index entries for continued fractions for constants.

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

FORMULA

From Amiram Eldar, Dec 20 2023: (Start)

Multiplicative with a(2) = 3, a(4) = 1, a(2^e) = 40 for e >= 3, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 1/2^(s-1) - 1/2^(2*s-1) + 39/2^(3*s)). (End)

MAPLE