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A040402 Continued fraction for sqrt(423). +0
2
20, 1, 1, 3, 4, 3, 1, 1, 40, 1, 1, 3, 4, 3, 1, 1, 40, 1, 1, 3, 4, 3, 1, 1, 40, 1, 1, 3, 4, 3, 1, 1, 40, 1, 1, 3, 4, 3, 1, 1, 40, 1, 1, 3, 4, 3, 1, 1, 40, 1, 1, 3, 4, 3, 1, 1, 40, 1, 1, 3, 4, 3, 1, 1, 40, 1, 1, 3, 4, 3, 1, 1, 40, 1, 1, 3, 4, 3, 1, 1, 40, 1, 1, 3, 4, 3, 1, 1 (list; graph; listen)
OFFSET

0,1

LINKS

Index entries for continued fractions for constants

FORMULA

a(n)=(1/112)*{-519*(n mod 8)+27*[(n+1) mod 8]+55*[(n+2) mod 8]+41*[(n+3) mod 8]+13*[(n+4) mod 8]-[(n+5) mod 8]+27*[(n+6) mod 8]+573*[(n+7) mod 8]}-20*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Apr 30 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(423)), confrac);

CROSSREFS

Sequence in context: A040405 A040406 A040403 this_sequence A040401 A040400 A139459

Adjacent sequences: A040399 A040400 A040401 this_sequence A040403 A040404 A040405

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.


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