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A010149 Continued fraction for sqrt(70). +0
2
8, 2, 1, 2, 1, 2, 16, 2, 1, 2, 1, 2, 16, 2, 1, 2, 1, 2, 16, 2, 1, 2, 1, 2, 16, 2, 1, 2, 1, 2, 16, 2, 1, 2, 1, 2, 16, 2, 1, 2, 1, 2, 16, 2, 1, 2, 1, 2, 16, 2, 1, 2, 1, 2, 16, 2, 1, 2, 1, 2, 16, 2, 1, 2, 1, 2, 16, 2, 1, 2, 1, 2, 16, 2, 1 (list; graph; listen)
OFFSET

0,1

LINKS

Harry J. Smith, Table of n, a(n) for n=0,...,20000

G. Xiao, Contfrac

Index entries for continued fractions for constants

FORMULA

a(n)=(1/30)*{-62*(n mod 6)+3*[(n+1) mod 6]+13*[(n+2) mod 6]+3*[(n+3) mod 6]+13*[(n+4) mod 6]+78*[(n+5) mod 6]}-8*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Jul 24 2009]

EXAMPLE

8.366600265340755479781720257... = 8 + 1/(2 + 1/(1 + 1/(2 + 1/(1 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 08 2009]

PROGRAM

(PARI) { allocatemem(932245000); default(realprecision, 19000); x=contfrac(sqrt(70)); for (n=0, 20000, write("b010149.txt", n, " ", x[n+1])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 08 2009]

CROSSREFS

Cf. A010522 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 08 2009]

Sequence in context: A080729 A164800 A011008 this_sequence A021553 A157472 A147868

Adjacent sequences: A010146 A010147 A010148 this_sequence A010150 A010151 A010152

KEYWORD

nonn,cofr

AUTHOR

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

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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