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

0,1

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.)

Links

Table of n, a(n) for n=0..9.

Example

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.

Sequence in context: A050945 A251458 A116497 * A133543 A373467 A294031

Adjacent sequences: A346682 A346683 A346684 * A346686 A346687 A346688

Keyword

nonn,more,base

Author

John Mason, Jul 29 2021

Status

approved