id:A062542 - OEIS Search Results

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Decimal expansion of the continued fraction constant (base 10).

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

	OFFSET	`1,3`
	COMMENT	`"(By strange coincidence, the information in a typical continued fraction term is very nearly one decimal digit - actually pi^2/(6 (ln 2) (ln 10)) = 1.0306.) R. W. Gosper. Math-Fun list, April 9, 1998. This constant is the average number of decimal digits necessary to have the equivalent continued fraction representations of a number in base 10. In other words if you have N decimal digits it will give you N/C = N/1.0306 valid partial quotients in average." - S. Plouffe.`
	LINKS	`S. Plouffe, Plouffe's Inverter` `Eric Weisstein's World of Mathematics, Lochs' Theorem`
	FORMULA	`pi^2/(6 (ln 2) (ln 10)).`
	EXAMPLE	`1.03064083410071293588177609411693684092592031112072628177006095223495442800479...`
	CROSSREFS	`Cf. A062543.` `Sequence in context: A051021 A088162 A133170 this_sequence A109693 A004606 A019808` `Adjacent sequences: A062539 A062540 A062541 this_sequence A062543 A062544 A062545`
	KEYWORD	`cons,easy,nonn`
	AUTHOR	`Jason Earls (zevi_35711(AT)yahoo.com), Jun 25 2001`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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