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

Offset: 0

Author

Graeme McRae, May 10 2006

Keywords

• base
• nonn

Examples

			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.
		

Links

• Estimating Log Base 10
• Karl's Calculus Tutor: Log base 10 tricks (to the 40th degree)