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A013679
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Continued fraction for zeta(2) = Pi^2/6.
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7
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1, 1, 1, 1, 4, 2, 4, 7, 1, 4, 2, 3, 4, 10, 1, 2, 1, 1, 1, 15, 1, 3, 6, 1, 1, 2, 1, 1, 1, 2, 2, 3, 1, 3, 1, 1, 5, 1, 2, 2, 1, 1, 6, 27, 20, 3, 97, 105, 1, 1, 1, 1, 1, 45, 2, 8, 19, 1, 4, 1, 1, 3, 1, 2, 1, 1, 1, 5, 1, 1, 2, 3, 6, 1, 1, 1, 2, 1, 5, 1, 1, 2, 9, 5, 3, 2, 1, 1, 1
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history;
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OFFSET
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1,5
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REFERENCES
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M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 811.
David Wells, "The Penguin Dictionary of Curious and Interesting Numbers," Revised Edition, Penguin Books, London, England, 1997, page 23.
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LINKS
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T. D. Noe, Table of n, a(n) for n = 1..10000
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].
G. Xiao, Contfrac
Index entries for continued fractions for constants
Index entries for zeta function.
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EXAMPLE
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1.644934066848226436472415166... = 1 + 1/(1 + 1/(1 + 1/(1 + 1/(4 + ...))))
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MATHEMATICA
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ContinuedFraction[ Pi^2/6, 100]
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PROG
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(PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(Pi^2/6); for (n=1, 20000, write("b013679.txt", n, " ", x[n])); } \\ Harry J. Smith, Apr 29 2009
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CROSSREFS
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Cf. A013661.
Sequence in context: A066978 A236187 A114566 * A096428 A091007 A180156
Adjacent sequences: A013676 A013677 A013678 * A013680 A013681 A013682
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KEYWORD
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nonn,cofr,nice,easy
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AUTHOR
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N. J. A. Sloane
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STATUS
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approved
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