A344636 Numbers k such that half the numbers from 0 to k inclusive contain the digit "1".

1, 17, 23, 161, 269, 271, 1457, 3397, 3419, 3421, 13121, 44685, 118097, 674909, 674933, 1062881

Offset: 1

Author

Glen Gilchrist, May 25 2021

Keywords

• nonn
• base
• fini
• full

Comments

Andrew Hilton (see Ref) refers to these as "half-one" numbers.

Examples

			1 is a term since among the numbers 0,1 exactly half contain a digit "1".
17 is a term since among the numbers 0,1,2,...,17 exactly half contain a digit "1".
		

References

• Andrew Hilton, 101 Puzzles to Solve on your Microcomputer, 1984, HARRAP, page 57.

Crossrefs

Cf. A344474, A344634, A343839, A011531, A016189.

Programs

Mathematica

Select[2Range@2000,Length@Select[Range[0,#-1],MemberQ[IntegerDigits@#,1]&]==#/2&]-1 (* Giorgos Kalogeropoulos, Jul 28 2021 *)