id:A160092 - OEIS Search Results

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Decimal expansion of (617139+371510*sqrt(2))/569^2.

+0
4

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

	OFFSET	`1,1`
	COMMENT	`lim_{n -> infinity} b(n)/b(n-1) = (617139+371510sqrt(2))/569^2 for n mod 3 = 0, b = A101152.` `lim_{n -> infinity} b(n)/b(n-1) = (617139+371510sqrt(2))/569^2 for n mod 3 = 1, b = A160090.`
	FORMULA	`(617139+371510sqrt(2))/569^2 = (1940+766sqrt(2))/(1940-766sqrt(2))` `= (3+2sqrt(2))(34-3sqrt(2))^2/(34+3*sqrt(2))^2.`
	EXAMPLE	`(617139+371510*sqrt(2))/569^2 = 3.52894104156222812994...`
	CROSSREFS	`Cf. A101152, A160090, A002193 (decimal expansion of sqrt(2)), A160091 (decimal expansion of (587+102*sqrt(2))/569).` `Sequence in context: A120837 A095749 A137988 this_sequence A026193 A026143 A075626` `Adjacent sequences: A160089 A160090 A160091 this_sequence A160093 A160094 A160095`
	KEYWORD	`cons,nonn`
	AUTHOR	`Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), May 04 2009`

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.

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