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A030652
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Continued fraction for GAMMA(2/3).
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3
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1, 2, 1, 4, 1, 2, 8, 1, 1, 4, 4, 1, 6, 12, 1, 5, 1, 1, 1, 3, 2, 1, 1, 1, 18, 9, 1, 42, 1, 1, 2, 1, 1, 10, 3, 2, 4, 6, 2, 11, 1, 1, 8, 65, 9, 4, 1, 11, 2, 3, 1, 4, 3, 1, 2, 1, 2, 1, 5, 1, 1, 1, 2, 1, 14, 1, 5, 1, 6, 2, 7, 1, 29, 1, 1, 1, 3, 1, 2, 1, 26, 1, 1, 7, 13, 1, 2, 2, 8, 3, 4, 2, 2, 2
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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LINKS
| Harry J. Smith, Table of n, a(n) for n=1,...,5000
G. Xiao, Contfrac
Index entries for continued fractions for constants
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FORMULA
| Note that 3*GAMMA(1/3)*GAMMA(2/3)=2*Pi*sqrt(3).
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EXAMPLE
| 1.354117939426400416945288028... = 1 + 1/(2 + 1/(1 + 1/(4 + 1/(1 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 14 2009]
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PROG
| (PARI) { allocatemem(932245000); default(realprecision, 5200); x=contfrac(gamma(2/3)); for (n=1, 5000, write("b030652.txt", n, " ", x[n])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 14 2009]
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CROSSREFS
| Cf. A030651.
Cf. A073006 = Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 14 2009]
Sequence in context: A171173 A163618 A106616 * A077904 A088964 A124331
Adjacent sequences: A030649 A030650 A030651 * A030653 A030654 A030655
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KEYWORD
| nonn,cofr
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AUTHOR
| Paolo Dominici (pl.dm(AT)libero.it)
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