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A010146 Continued fraction for sqrt(62). +0
3
7, 1, 6, 1, 14, 1, 6, 1, 14, 1, 6, 1, 14, 1, 6, 1, 14, 1, 6, 1, 14, 1, 6, 1, 14, 1, 6, 1, 14, 1, 6, 1, 14, 1, 6, 1, 14, 1, 6, 1, 14, 1, 6, 1, 14, 1, 6, 1, 14, 1, 6, 1, 14, 1, 6, 1, 14, 1, 6, 1, 14, 1, 6, 1, 14, 1, 6, 1, 14, 1, 6, 1, 14 (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)=(1/6)*{-14*(n mod 4)+13*[(n+1) mod 4]-2*[(n+2) mod 4]+25*[(n+3) mod 4]}-7*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Jul 24 2009]

EXAMPLE

7.87400787401181101968503444... = 7 + 1/(1 + 1/(6 + 1/(1 + 1/(14 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 07 2009]

PROGRAM

(PARI) { allocatemem(932245000); default(realprecision, 22000); x=contfrac(sqrt(62)); for (n=0, 20000, write("b010146.txt", n, " ", x[n+1])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 07 2009]

CROSSREFS

Cf. A010515 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 07 2009]

Sequence in context: A107786 A154932 A026497 this_sequence A092615 A086309 A060625

Adjacent sequences: A010143 A010144 A010145 this_sequence A010147 A010148 A010149

KEYWORD

nonn,cofr

AUTHOR

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

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Last modified November 24 14:25 EST 2009. Contains 167438 sequences.


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