id:A119256 - OEIS Search Results

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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.

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

	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 this_sequence A143454 A065810 A123837` `Adjacent sequences: A119253 A119254 A119255 this_sequence A119257 A119258 A119259`
	KEYWORD	`base,nonn`
	AUTHOR	`Graeme McRae (g_m(AT)mcraefamily.com), May 10 2006`

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Last modified December 16 13:01 EST 2009. Contains 170825 sequences.

AT&T Labs Research