A280823 Numbers with an odd number of digits and with an odd number of distinct digits.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 102, 103, 104, 105, 106, 107, 108, 109, 111, 120, 123, 124, 125, 126, 127, 128, 129, 130, 132, 134, 135, 136, 137, 138, 139, 140, 142, 143, 145, 146, 147, 148, 149, 150, 152, 153, 154, 156, 157, 158, 159, 160, 162, 163, 164, 165, 167, 168, 169, 170, 172, 173, 174, 175, 176, 178, 179, 180

Offset: 1

Author

Ilya Gutkovskiy, Jan 08 2017

Keywords

• nonn
• base
• easy

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000
• Eric Weisstein's World of Mathematics, Digit
• Index entries for 10-automatic sequences.

Crossrefs

Cf. A000035, A001633, A043537, A055642, A280824, A280825, A280826.

Programs

Mathematica

Select[Range[0, 180], Mod[Length[IntegerDigits[#1]], 2] == 1 && Mod[Length[Union[IntegerDigits[#1]]], 2] == 1 & ]
Join[{0},Select[Range[200],AllTrue[{IntegerLength[#],Count[DigitCount[#],?(#>0&)]},OddQ]&]] (* _Harvey P. Dale, Dec 16 2023 *)

Formula

A000035(A055642(a(n))) = 1.

A000035(A043537(a(n))) = 1.