id:A084252 - OEIS Search Results

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A measure of how close r^n is to an integer where r is the real root of x^3-x-1, i.e. r = (1/2+sqrt(23/108))^(1/3) + (1/2-sqrt(23/108))^(1/3) = 1.3247.... (Higher absolute value of a(n) means closer, negative means less than closest integer.).

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3, -4, 3, 13, 13, 2, 6, 2, -2, -3, 21, 5, -3, 4, -10, -18, 7, -6, 10, -139, -16, 11, -14, 39, 54, -23, 23, -39, 3479, 53, -40, 52, -158, -165, 78, -81, 148, 2429, -177, 140, -191, 657, 517, -269, 289, -563, -3923, 595, -492, 702, -2833, -1645, 933, -1041, 2156, 9021, -2012, 1740, -2590, 12872, 5304, -3242, 3756 (list; graph; listen)

	OFFSET	`1,1`
	FORMULA	`a(n) = round[1/(r^n-round[r^n])]`
	EXAMPLE	`a(4)=13 since r^4=3.0795956..., 1/(3.0795956...-round[3.0795956...])=1/0.0795956...=12.5635... and round[12.5635...]=13.`
	CROSSREFS	`Cf. A056581, A060006. Positive values when n is in A051016 and negative when n is in A051017.` `Sequence in context: A077628 A158134 A051508 this_sequence A038018 A108658 A021748` `Adjacent sequences: A084249 A084250 A084251 this_sequence A084253 A084254 A084255`
	KEYWORD	`sign`
	AUTHOR	`Henry Bottomley (se16(AT)btinternet.com), May 22 2003`

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Last modified December 20 00:58 EST 2009. Contains 171054 sequences.

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