id:A115790 - OEIS Search Results

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1 - (Floor((n+1)*pi)-Floor(n*pi)) mod 2.

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0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 (list; graph; listen)

	OFFSET	`0,1`
	COMMENT	`The arithmetic mean 1/(n+1)*sum(a(k)\|k=0...n) converges to pi-3. What is effectively the same: the Cesaro limit (C1) of a(n) is pi-3.`
	FORMULA	`a(n) = 1 - (Floor((n+1)pi)-Floor(npi)) mod 2.`
	EXAMPLE	`a(6)=0 because 7pi=21.99, 6pi=18.85 and so a(6)=1-(21-18) mod 2 = 0;` `a(7)=1 because 8*pi=25.13 and so a(7)=1-(25-21) mod 2 = 1;`
	CROSSREFS	`Cf. A022844, A115787, A115788, A115789.` `Sequence in context: A072401 A064873 A037823 this_sequence A025460 A101605 A135133` `Adjacent sequences: A115787 A115788 A115789 this_sequence A115791 A115792 A115793`
	KEYWORD	`nonn`
	AUTHOR	`Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jan 31 2006`

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.

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