A280825 Numbers with an odd number of digits and with an even number of distinct digits.

100, 101, 110, 112, 113, 114, 115, 116, 117, 118, 119, 121, 122, 131, 133, 141, 144, 151, 155, 161, 166, 171, 177, 181, 188, 191, 199, 200, 202, 211, 212, 220, 221, 223, 224, 225, 226, 227, 228, 229, 232, 233, 242, 244, 252, 255, 262, 266, 272, 277, 282, 288, 292, 299, 300, 303, 311, 313, 322, 323, 330, 331, 332, 334, 335

Offset: 1

Author

Ilya Gutkovskiy, Jan 08 2017

Keywords

• nonn
• base
• easy

Links

• Eric Weisstein's World of Mathematics, Digit
• Index entries for 10-automatic sequences.

Crossrefs

Cf. A000035, A001633, A043537, A055642, A210666, A280823, A280824, A280826.

Programs

Mathematica

Select[Range[335], Mod[Length[IntegerDigits[#1]], 2] == 1 && Mod[Length[Union[IntegerDigits[#1]]], 2] == 0 & ]

Formula

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

A000035(A043537(a(n))) = 0.

a(n) = A210666(n) for n < 244.