%I A119256
%S A119256 1,4,7,10,13,23,40,63,176,239,329,568,10381,49128,60974,281746,342720,
%T A119256 7484108,11452573,18936681,44390284,55842857
%N 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.
%H A119256 <a href="http://mcraefamily.com/MathHelp/MentalMathLog.htm">Estimating 
               Log Base 10</a>
%H A119256 Karl's Calculus Tutor: <a href="http://www.karlscalculus.org/l6_3-2.html">
               Log base 10 tricks (to the 40th degree)</a>
%e A119256 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.
%Y A119256 Sequence in context: A096675 A069212 A091290 this_sequence A143454 A065810 
               A123837
%Y A119256 Adjacent sequences: A119253 A119254 A119255 this_sequence A119257 A119258 
               A119259
%K A119256 base,nonn
%O A119256 0,2
%A A119256 Graeme McRae (g_m(AT)mcraefamily.com), May 10 2006