A119256 - OEIS

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A119256

Successively better denominators for estimating base 10 logs of 2, 3, 4, 5, 6, 7, 8 and 9. "Better" is defined by the RMS error of the best numerators for each given denominator.

1, 4, 7, 10, 13, 23, 40, 63, 176, 239, 329, 568, 10381, 49128, 60974, 281746, 342720, 7484108, 11452573, 18936681, 44390284, 55842857 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	LINKS	`Estimating Log Base 10` `Karl's Calculus Tutor: Log base 10 tricks (to the 40th degree)`
	EXAMPLE	`a(6)=40 because the square root of the mean of (12-40log(2))^2, (19-40log(3))^2, (24-40log(4))^2, (28-40log(5))^2, (31-40log(6))^2, (34-40log(7))^2, (36-40log(8))^2 and (38-40log(9))^2 is smaller than the RMS values obtained using any denominator smaller than 40.`
	CROSSREFS	`Sequence in context: A096675 A069212 A091290 * A143454 A065810 A123837` `Adjacent sequences: A119253 A119254 A119255 * A119257 A119258 A119259`
	KEYWORD	`base,nonn`
	AUTHOR	`Graeme McRae (g_m(AT)mcraefamily.com), May 10 2006`

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Last modified February 14 08:58 EST 2012. Contains 205614 sequences.