|
Search: id:A111859
|
|
|
| A111859 |
|
Number of numbers m <= n such that 9 equals the first digit after decimal point of square root of n in decimal representation. |
|
+0
12
|
|
| 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 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, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5
(list; graph; listen)
|
|
|
OFFSET
|
1,48
|
|
|
COMMENT
|
For n>1: if A023961(n)=9 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.
|
|
EXAMPLE
|
a(10) = 0, a(100) = 5, a(1000) = 81, a(10000) = 950.
|
|
CROSSREFS
|
Cf. A111850, A111851, A111852, A111853, A111854, A111855, A111856, A111857, A111858, A111899.
Sequence in context: A046042 A071841 A097876 this_sequence A107609 A135660 A133502
Adjacent sequences: A111856 A111857 A111858 this_sequence A111860 A111861 A111862
|
|
KEYWORD
|
nonn,base
|
|
AUTHOR
|
Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Aug 20 2005
|
|
|
Search completed in 0.002 seconds
|
