id:A135296 - OEIS Search Results

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A measure of quality (the higher the better) for the approximation to Pi by rationals A022853(n)/n.

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7, 3, 2, 2, 3, 6, 112, 7, 3, 2, 2, 3, 6, 56, 8, 3, 2, 2, 3, 5, 37, 8, 3, 2, 2, 3, 5, 28, 9, 4, 2, 2, 3, 5, 22, 10, 4, 2, 2, 2, 5, 18, 11, 4, 2, 2, 2, 4, 16, 12, 4, 2, 2, 2, 4, 14, 14, 4, 2, 2, 2, 4, 12, 16, 4, 2, 2, 2, 4, 11, 18, 5, 2, 2, 2, 4, 10, 22, 5, 3, 2, 2, 4, 9, 28, 5, 3, 2, 2 (list; graph; listen)

	OFFSET	`1,1`
	FORMULA	`a(n) = [1/\|n*Pi-A022853(n)\|].`
	EXAMPLE	`a(7)=112 because [1/\|7*Pi-22\|] = [1/\|-0.0088514\|] = [112.976] = 112.`
	MATHEMATICA	`a = {}; For[n = 1, n < 90, n++, AppendTo[a, Floor[1/(If[FractionalPart[nPi] > 1/2, Ceiling[nPi] - nPi, nPi - Floor[n*Pi]])]]]; a - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Dec 05 2007`
	CROSSREFS	`Cf. A022853.` `Sequence in context: A033327 A024584 A132713 this_sequence A098907 A153205 A075564` `Adjacent sequences: A135293 A135294 A135295 this_sequence A135297 A135298 A135299`
	KEYWORD	`nonn`
	AUTHOR	`Franz Vrabec (franz.vrabec(AT)planetuniqa.at), Dec 04 2007`
	EXTENSIONS	`More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Dec 05 2007`

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Last modified November 24 23:11 EST 2009. Contains 167435 sequences.

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