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 A111896 Number of numbers m <= n such that 6 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, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,12 COMMENTS For n > 1: if A111862(n)=6 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) = 1, a(100) = 8, a(1000) = 98, a(10000) = 1000. MATHEMATICA sd6Q[n_]:=Module[{c=RealDigits[Sqrt[n], 10, 10]}, If[Drop[c[[1]], c[[2]]][[2]]==6, 1, 0]]; Accumulate[Array[sd6Q, 110]] (* Harvey P. Dale, Aug 17 2012 *) CROSSREFS Cf. A111862, A111890, A111891, A111892, A111893, A111894, A111895, A111897, A111898, A111899, A111856. Sequence in context: A048766 A105516 A105518 * A105515 A105514 A214081 Adjacent sequences: A111893 A111894 A111895 * A111897 A111898 A111899 KEYWORD nonn,base AUTHOR Reinhard Zumkeller, Aug 20 2005 STATUS approved

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Last modified December 10 02:09 EST 2022. Contains 358712 sequences. (Running on oeis4.)