A195845 Leaders in the race of digits of golden ratio phi.
1, 8, 2, 6, 2, 8, 4, 8, 4, 6, 4, 8, 6, 2, 7, 2, 0, 1, 7, 3, 7, 1, 7, 1, 7, 1, 0, 7, 0, 7, 0, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 0, 3, 1, 3, 0, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 9
Offset: 1
Examples
The decimal expansion of golden ratio (phi = 1.6180339887...) starts with 1 (see A001622) hence the first leader in the race of digits is 1, so a(1) = 1. After 10 stages the new leader is 8 because the number 8 appears three times and the earlier leader appears twice, so a(2) = 8.
Extensions
More terms from D. S. McNeil, Oct 22 2011
Comments