id:A030652 - OEIS Search Results

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Continued fraction for GAMMA(2/3).

+0
3

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; listen)

	OFFSET	`1,2`
	LINKS	`Harry J. Smith, Table of n, a(n) for n=1,...,5000` `G. Xiao, Contfrac` `Index entries for continued fractions for constants`
	FORMULA	`Note that 3GAMMA(1/3)GAMMA(2/3)=2Pisqrt(3).`
	EXAMPLE	`1.354117939426400416945288028... = 1 + 1/(2 + 1/(1 + 1/(4 + 1/(1 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 14 2009]`
	PROGRAM	`(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]`
	CROSSREFS	`Cf. A030651.` `Cf. A073006 = Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 14 2009]` `Sequence in context: A083414 A163618 A106616 this_sequence A077904 A088964 A124331` `Adjacent sequences: A030649 A030650 A030651 this_sequence A030653 A030654 A030655`
	KEYWORD	`nonn,cofr`
	AUTHOR	`Paolo Dominici (pl.dm(AT)libero.it)`

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Last modified December 8 08:31 EST 2009. Contains 170430 sequences.

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