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A040714 Continued fraction for sqrt(742). +0
1
27, 4, 5, 1, 4, 8, 1, 6, 1, 8, 4, 1, 5, 4, 54, 4, 5, 1, 4, 8, 1, 6, 1, 8, 4, 1, 5, 4, 54, 4, 5, 1, 4, 8, 1, 6, 1, 8, 4, 1, 5, 4, 54, 4, 5, 1, 4, 8, 1, 6, 1, 8, 4, 1, 5, 4, 54, 4, 5, 1, 4, 8, 1, 6, 1, 8, 4, 1, 5, 4, 54, 4, 5, 1, 4, 8, 1, 6, 1, 8, 4, 1, 5, 4, 54, 4, 5, 1, 4, 8 (list; graph; listen)
OFFSET

0,1

LINKS

Index entries for continued fractions for constants

FORMULA

a(n)=(1/1274)*{-4444*(n mod 14)+197*[(n+1) mod 14]-258*[(n+2) mod 14]+379*[(n+3) mod 14]+470*[(n+4) mod 14]-531*[(n+5) mod 14]+561*[(n+6) mod 14]-349*[(n+7) mod 14]+743*[(n+8) mod 14]-258*[(n+9) mod 14]-167*[(n+10) mod 14]+470*[(n+11) mod 14]+15*[(n+12) mod 14]+4656*[(n+13) mod 14]}-27*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), May 20 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(742)), confrac);

CROSSREFS

Sequence in context: A018857 A040713 A040712 this_sequence A040711 A040709 A040710

Adjacent sequences: A040711 A040712 A040713 this_sequence A040715 A040716 A040717

KEYWORD

nonn,cofr,easy

AUTHOR

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

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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