A060298 - OEIS

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A060298

Number of powers x^y (x,y > 1) with n digits.

3, 12, 34, 94, 263, 768, 2333, 7167, 22291, 69751, 219081, 689736, 2174856, 6864354, 21679391, 68497906, 216485583, 684323923, 2163459803, 6840258025, 21628220224, 68388917596, 216252901472, 683826283482, 2162393925204, 6837972506895, 21623315009817 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,1`
	COMMENTS	`Conjecture:` `Lim_n->inf. of a(2n)/10^n=1-1/sqrt(10) and` `Lim_n->inf. of a(2n-1)/10^n=1/sqrt(10)-1/10. Robert G. Wilson v, Aug 29 2012`
	LINKS	`Table of n, a(n) for n=1..27.`
	EXAMPLE	`a(1) = 3 because there are 3 powers with 1 digit: 2^2, 2^3 and 3^2.`
	CROSSREFS	`Sequence in context: A081423 A184705 A257890 * A226546 A073372 A026573` `Adjacent sequences: A060295 A060296 A060297 * A060299 A060300 A060301`
	KEYWORD	`nonn,base`
	AUTHOR	`Michel ten Voorde (seqfan(AT)tenvoorde.org) Apr 10 2001`
	EXTENSIONS	`a(10)-a(18) from Donovan Johnson, Dec 14 2009` `a(19)-a(27) from Donovan Johnson, Aug 29 2012`
	STATUS	`approved`

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Last modified November 17 14:33 EST 2017. Contains 294834 sequences.