A101429: more terms

zak seidov zakseidov at yahoo.com
Fri Nov 23 08:06:55 CET 2007


Dear C++ gurus,
anybody may wish to check/add more terms?
Mathematica is 
extremely slow... unfortunately.. to me... 
Thanks, Zak


Neil, 
I added a(8) and  a(9):
 135481777 (*n=8*)
1354575715 (*n=9*),
and comments.
Thanks, Zak 



%I A101429 
%S A101429 2,7,115,1366,13561,135178,1351546,
13546438,135481777,1354575715 
%C A101429 Limit a(n)/10^n, at => Inf, is
1.35463=4.5*log(2). For large m's, mean value of
digits of 2^m is 4.5, according to the uniform
probability distribution of digits 0..9 in 2^m. Also,
number of decimal digits in 2^m is log(2)*m, hence the
formula for limit a(n)/10^n.
(Zak Seidov (zakseidov(AT)yahoo  Nov 23 2007) 
%E A101429 a(8) and a(9) from Zak Seidov
(zakseidov(AT)yahoo  Nov 23 2007 


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