id:A115789 - OEIS Search Results

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

+0
4

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

	OFFSET	`0,1`
	COMMENT	`The arithmetic mean 1/(n+1)*sum(a(k)\|k=0...n) converges to 4-pi. What is effectively the same: the Cesaro limit (C1) of a(n) is 4-pi.`
	FORMULA	`a(n) = (Floor((n+1)pi)-Floor(npi)) mod 2.`
	EXAMPLE	`a(6)=1 because 7pi=21.99, 6pi=18.85 and so a(6)=(21-18) mod 2 = 1;` `a(7)=0 because 8*pi=25.13 and so a(7)=(25-21) mod 2 = 0;`
	CROSSREFS	`Cf. A022844, A115787, A115788, A115790.` `Sequence in context: A118172 A118111 A119981 this_sequence A053864 A129667 A071374` `Adjacent sequences: A115786 A115787 A115788 this_sequence A115790 A115791 A115792`
	KEYWORD	`nonn`
	AUTHOR	`Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jan 31 2006`

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Last modified December 21 10:15 EST 2009. Contains 171081 sequences.

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