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Search: id:A111851
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| A111851 |
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Number of numbers m <= n such that 1 equals the first digit after decimal point of square root of n in decimal representation. |
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+0
12
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| 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 11
(list; graph; listen)
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OFFSET
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1,17
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COMMENT
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For n>1: if A023961(n)=1 then a(n)=a(n-1)+1 else a(n)=a(n-1).
a(n)/n --> 1/10.
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REFERENCES
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G. Polya and G. Szego, Problems and Theorems in Analysis I (Springer 1924, reprinted 1972), Part Two, Chap. 4, Sect. 4, Problem 178.
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EXAMPLE
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a(10) = 1, a(100) = 9, a(1000) = 99, a(10000) = 990.
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CROSSREFS
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Cf. A111850, A111852, A111853, A111854, A111855, A111856, A111857, A111858, A111859, A111891.
Sequence in context: A135665 A135662 A111853 this_sequence A111852 A133880 A059995
Adjacent sequences: A111848 A111849 A111850 this_sequence A111852 A111853 A111854
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KEYWORD
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nonn,base
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 20 2005
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