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 A111899 Number of numbers m <= n such that 9 equals the second digit after decimal point of square root of n in decimal representation. 11
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 10, 10, 11 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,23 COMMENTS For n > 1: if A111862(n)=9 then a(n) = a(n-1) + 1, otherwise a(n) = a(n-1). Lim_{n->infinity} a(n)/n = 1/10. REFERENCES G. Pólya and G. Szegő, 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) = 10, a(1000) = 106, a(10000) = 994. CROSSREFS Cf. A111890, A111891, A111892, A111893, A111894, A111895, A111896, A111897, A111898, A111859. Sequence in context: A333527 A064047 A335152 * A074753 A013928 A172104 Adjacent sequences:  A111896 A111897 A111898 * A111900 A111901 A111902 KEYWORD nonn,base AUTHOR Reinhard Zumkeller, Aug 20 2005 STATUS approved

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Last modified November 24 12:15 EST 2020. Contains 338612 sequences. (Running on oeis4.)