A195846 Leaders in the race of digits of square root of 2.
1, 8, 7, 5, 8, 5, 0, 8, 2, 8, 2, 8, 2, 8, 5, 8, 2, 8, 5, 8, 6, 8, 6, 8, 6, 8, 6, 8, 9, 8, 9, 8, 9, 8, 9, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 9, 8, 9, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4
Offset: 1
Examples
Since sqrt(2) = 1.414213562373095048801688724209698... the decimal expansion of square root of 2 starts with 1 (see A000796) hence the first leader in the race of digits is 1, so a(1) = 1. After 34 stages the new leader is 8 because the number 8 appears five times and the earlier leader appears four times, so a(2) = 8.
Extensions
More terms from D. S. McNeil, Oct 22 2011
Comments