Search: id:A111859
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%I A111859
%S A111859 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
%T A111859 1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,
%U A111859 3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5
%N A111859 Number of numbers m <= n such that 9 equals the first digit after decimal 
               point of square root of n in decimal representation.
%C A111859 For n>1: if A023961(n)=9 then a(n)=a(n-1)+1 else a(n)=a(n-1).
%C A111859 a(n)/n --> 1/10.
%D A111859 G. Polya and G. Szego, Problems and Theorems in Analysis I (Springer 
               1924, reprinted 1972), Part Two, Chap. 4, Sect. 4, Problem 178.
%e A111859 a(10) = 0, a(100) = 5, a(1000) = 81, a(10000) = 950.
%Y A111859 Cf. A111850, A111851, A111852, A111853, A111854, A111855, A111856, A111857, 
               A111858, A111899.
%Y A111859 Sequence in context: A046042 A071841 A097876 this_sequence A156822 A107609 
               A135660
%Y A111859 Adjacent sequences: A111856 A111857 A111858 this_sequence A111860 A111861 
               A111862
%K A111859 nonn,base
%O A111859 1,48
%A A111859 Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 20 2005

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