id:A105224 - OEIS Search Results

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Number of squares between n and 2n inclusive.

+0
2

1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4 (list; graph; listen)

	OFFSET	`1,8`
	COMMENT	`a(n)>=1 because between n and 2n there is always at least one square.`
	FORMULA	`a(n) = A000196(2n) - A000196(n-1).`
	EXAMPLE	`a(8)=2 because between 8 and 16 there are two squares: 3^2 and 4^2.`
	MATHEMATICA	`f[n_] := Floor[Sqrt[n]]; Table[f[2n] - f[n - 1], {n, 100}]`
	CROSSREFS	`Cf. A000196, A105223.` `Sequence in context: A000999 A025451 A006513 this_sequence A047070 A071127 A029381` `Adjacent sequences: A105221 A105222 A105223 this_sequence A105225 A105226 A105227`
	KEYWORD	`easy,nonn`
	AUTHOR	`Giovanni Teofilatto (g.teofilatto(AT)tiscalinet.it), Apr 14 2005`
	EXTENSIONS	`Edited and extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Apr 16 2005`

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.

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