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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. 0
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; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..21.

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 (12-40*log(2))^2, (19-40*log(3))^2, (24-40*log(4))^2, (28-40*log(5))^2, (31-40*log(6))^2, (34-40*log(7))^2, (36-40*log(8))^2 and (38-40*log(9))^2 is smaller than the RMS values obtained using any denominator smaller than 40.

CROSSREFS

Sequence in context: A096675 A069212 A091290 * A143454 A318774 A065810

Adjacent sequences:  A119253 A119254 A119255 * A119257 A119258 A119259

KEYWORD

base,nonn

AUTHOR

Graeme McRae, May 10 2006

STATUS

approved

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Last modified July 15 22:48 EDT 2019. Contains 325061 sequences. (Running on oeis4.)