A100196 - OEIS

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A100196

Numbers of positive integer cubes <= n^2.

1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 18, 18, 18 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,3`
	LINKS	`Table of n, a(n) for n=1..79.`
	FORMULA	`a(n) = floor(n^(2/3)). [Charles R Greathouse IV, Mar 21 2012]`
	MATHEMATICA	`Table[ Floor[n^(2/3)], {n, 120}] (* Ray Chandler *)`
	PROG	`(PARI) a(n)=floor(sqrtn(n, 3)) \\ Charles R Greathouse IV, Mar 21 2012` `(PARI) a(n)=(n^2+.5)^(1/3)\1 \\ More careful rounding. -Charles R Greathouse IV, Mar 21 2012`
	CROSSREFS	`Cf. A100197.` `Sequence in context: A036468 A028829 A130855 * A094708 A039730 A152595` `Adjacent sequences: A100193 A100194 A100195 * A100197 A100198 A100199`
	KEYWORD	`easy,nonn`
	AUTHOR	`Giovanni Teofilatto, Dec 27 2004`
	EXTENSIONS	`Corrected and extended by Ray Chandler, Jan 09 2005`
	STATUS	`approved`

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Last modified June 19 07:51 EDT 2013. Contains 226399 sequences.