id:A113477 - OEIS Search Results

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Decimal expansion of Gamma(1/3)^3/2^(4/3)/Pi.

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2, 4, 2, 8, 6, 5, 0, 6, 4, 7, 8, 8, 7, 5, 8, 1, 6, 1, 1, 8, 1, 9, 9, 4, 1, 6, 8, 9, 7, 8, 0, 9, 3, 1, 2, 4, 8, 5, 5, 5, 0, 3, 4, 8, 4, 4, 8, 7, 4, 9, 0, 9, 2, 7, 4, 4, 1, 6, 6, 2, 9, 4, 1, 8, 8, 0, 5, 4, 0, 5, 6, 8, 7, 3, 6, 1, 7, 6, 9, 1, 7, 4, 4, 5, 4, 6, 7, 2, 7, 2, 7, 0, 8, 8, 8, 3, 5, 4, 4, 3, 8, 3, 9, 0, 7 (list; cons; graph; listen)

	OFFSET	`0,1`
	COMMENT	`This number is transcendental from a result of Schneider on elliptic integrals.`
	REFERENCES	`Th. Schneider, Transzendenzuntersuchungen periodischer Funktionen (1934).` `Th. Schneider, Arithmetische Untersuchungen elliptischer Integrale (1937).`
	FORMULA	`int_{1}^{infty}dx/sqrt(4x^3-4)=Gamma(1/3)^3/2^(4/3)/Pi=2.428650647887581611819....`
	PROGRAM	`(PARI) gamma(1/3)^3/2^(4/3)/Pi`
	CROSSREFS	`Cf. A085565.` `Sequence in context: A090988 A095728 A163897 this_sequence A129178 A152874 A065286` `Adjacent sequences: A113474 A113475 A113476 this_sequence A113478 A113479 A113480`
	KEYWORD	`cons,nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 08 2006`

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Last modified December 19 12:50 EST 2009. Contains 171053 sequences.

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