Search: id:A111898 Results 1-1 of 1 results found. %I A111898 %S A111898 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2, %T A111898 2,3,3,3,3,3,4,4,4,4,5,5,5,5,5,5,5,6,6,6,7,7,7,8,8,8,8,8,8,8,8,9,9,9,9, %U A111898 9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,11,11,12,12,13,13,13,13,13 %N A111898 Number of numbers m <= n such that 8 equals the second digit after decimal point of square root of n in decimal representation. %C A111898 For n>1: if A111862(n)=8 then a(n)=a(n-1)+1 else a(n)=a(n-1). %C A111898 a(n)/n --> 1/10. %D A111898 G. Polya and G. Szego, Problems and Theorems in Analysis I (Springer 1924, reprinted 1972), Part Two, Chap. 4, Sect. 4, Problem 178. %e A111898 a(10) = 0, a(100) = 13, a(1000) = 94, a(10000) = 1002. %Y A111898 Cf. A111890, A111891, A111892, A111893, A111894, A111895, A111896, A111897, A111899, A111858. %Y A111898 Sequence in context: A104407 A054897 A003108 this_sequence A072746 A105390 A013941 %Y A111898 Adjacent sequences: A111895 A111896 A111897 this_sequence A111899 A111900 A111901 %K A111898 nonn,base %O A111898 1,29 %A A111898 Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 20 2005 Search completed in 0.001 seconds