The On-Line Encyclopedia of Integer Sequences (OEIS)

A040727 revision #12

A040727

Continued fraction for sqrt(755).

27, 2, 10, 2, 54, 2, 10, 2, 54, 2, 10, 2, 54, 2, 10, 2, 54, 2, 10, 2, 54, 2, 10, 2, 54, 2, 10, 2, 54, 2, 10, 2, 54, 2, 10, 2, 54, 2, 10, 2, 54, 2, 10, 2, 54, 2, 10, 2, 54, 2, 10, 2, 54, 2, 10, 2, 54, 2, 10, 2, 54, 2, 10, 2, 54, 2, 10, 2, 54, 2, 10, 2, 54, 2, 10

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OFFSET

0,1

LINKS

Table of n, a(n) for n=0..74.

Index entries for continued fractions for constants

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

FORMULA

a(n)=(1/6)*{-61*(n mod 4)+29*[(n+1) mod 4]+5*[(n+2) mod 4]+95*[(n+3) mod 4]}-27*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, May 20 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(755)), confrac);

CROSSREFS