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A111898 Number of numbers m <= n such that 8 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, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 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, 9, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 13, 13, 13, 13, 13 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,29
COMMENTS
For n > 1: if A111862(n)=8 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) = 13, a(1000) = 94, a(10000) = 1002.
CROSSREFS
Sequence in context: A279223 A214956 A209899 * A279041 A072746 A179528
KEYWORD
nonn,base
AUTHOR
Reinhard Zumkeller, Aug 20 2005
STATUS
approved

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Last modified June 23 11:44 EDT 2024. Contains 373644 sequences. (Running on oeis4.)