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 A111853 Number of numbers m <= n such that 3 equals the first digit after decimal point of square root of n in decimal representation. 11
 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, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,19 COMMENTS For n>1: if A023961(n)=3 then a(n)=a(n-1)+1 else a(n)=a(n-1). a(n)/n --> 1/10. REFERENCES G. Polya and G. Szego, Problems and Theorems in Analysis I (Springer 1924, reprinted 1972), Part Two, Chap. 4, Sect. 4, Problem 178. LINKS EXAMPLE a(10) = 0, a(100) = 9, a(1000) = 99, a(10000) = 990. CROSSREFS Cf. A111850, A111851, A111852, A111854, A111855, A111856, A111857, A111858, A111859, A111893. Sequence in context: A185712 A135665 A135662 * A111851 A111852 A133880 Adjacent sequences:  A111850 A111851 A111852 * A111854 A111855 A111856 KEYWORD nonn,base AUTHOR Reinhard Zumkeller, Aug 20 2005 STATUS approved

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