A346685 a(n) is the smallest positive integer k such that for all x >= k, at least 50% of the integers in the range 1..x contain n in their decimal expansion. In other words, it is the largest integer k such that exactly half of the integers 1..k have n in their decimal expansion.

20327616, 1062880, 2125762, 3188644, 4251526, 5314408, 6377290, 17006110, 18068992, 19131874

Offset: 0

Author

John Mason, Jul 29 2021

Keywords

• nonn
• more
• base

Comments

The sequence is inspired by the fact that, for any string of decimal digits, s, "almost all" integers contain s in their decimal expansion. (The same is true for other bases.)

Examples

			a(1) = 1062880 because exactly half of the integers in [1..1062880] have a 1 in their decimal expansion.
		

Crossrefs

Cf. A343839, A344636, A344474.

Also, this sequence has several values that coincide with values in A117862.