A160114 - OEIS

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A160114

Fluctuations of the number of cubefree integers not exceeding 10^n

0, 1, 2, 1, 0, -1, 3, 7, -10, -1, -7, -14, -59, 21, 34, -15, 103, -104, 302, -38, -514, -290, 1130, 504, 2466, 6813, -1854, 1590, -4879, 3963 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,3`
	COMMENTS	`The asymptotic density of cubefree integers is the reciprocal of Apery's constant 1/zeta(3) = 0.83190737258... The number of cubefree integers not exceeding N is thus roughly N/zeta(3). When N is a power of 10, this sequence gives the difference between the actual number (A160112) and that linear estimate (rounded to the nearest integer).`
	LINKS	`Table of n, a(n) for n=0..29.` `G. P. Michon, Reciprocal of Apery's constant.` `G. P. Michon, On the number of cubefree integers not exceeding N.` `Eric Weisstein's World of Mathematics, Cubefree.`
	FORMULA	`a(n) = A160112(n)-round(10^n/zeta(3))`
	CROSSREFS	`A004709 (cube-free integers). A160112 & A160113 (counting cubefree integers).` `Sequence in context: A118350 A183135 A210472 * A213028 A109970 A116088` `Adjacent sequences: A160111 A160112 A160113 * A160115 A160116 A160117`
	KEYWORD	`easy,sign`
	AUTHOR	`Gerard P. Michon, May 06 2009`
	STATUS	`approved`

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Last modified June 19 19:50 EDT 2013. Contains 226416 sequences.