%I A125144
%S A125144 1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,
%T A125144 1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,
%U A125144 1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0
%N A125144 Increments in the number of digits of 4^n.
%C A125144 This sequence is not periodic because log(4)/log(10) is an irrational 
               number. - T. D. Noe (noe(AT)sspectra.com), Jan 25 2007
%F A125144 a(n)=Number_of_digits{4^(n+1)}-Number_of digits{4^(n)} with n>=0 and 
               where "Number_of digits" is a hypothetical function giving the number 
               of digits of the argument
%e A125144 a(1)=1 because 4^(1+1)=16 (two digits) 4^1=4 (one digit) and the difference 
               is 1 a(2)=0 because 4^(2+1)=64 (two digits) 4^(2)=16 (two digits) 
               and the difference is 0
%p A125144 P:=proc(n) local i,j,k,w,old; k:=4; for i from 1 by 1 to n do j:=k^i; 
               w:=0; while j>0 do w:=w+1; j:=trunc(j/10); od; if i>1 then print(w-old); 
               old:=w; else old:=w; fi; od; end: P(1000);
%Y A125144 Cf. A125117, A125122.
%Y A125144 Sequence in context: A024711 A128174 A096055 this_sequence A115198 A005614 
               A071036
%Y A125144 Adjacent sequences: A125141 A125142 A125143 this_sequence A125145 A125146 
               A125147
%K A125144 easy,nonn
%O A125144 0,1
%A A125144 Paolo P. Lava & Giorgio Balzarotti (ppl(AT)spl.at), Jan 11 2007