A280826 Numbers with an even number of digits and with an odd number of distinct digits.

11, 22, 33, 44, 55, 66, 77, 88, 99, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1030, 1031, 1033, 1040, 1041, 1044, 1050, 1051, 1055, 1060, 1061, 1066, 1070, 1071, 1077, 1080, 1081, 1088, 1090, 1091, 1099, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109

Offset

1,1

Links

Table of n, a(n) for n=1..57.

Eric Weisstein's World of Mathematics, Digit

Index entries for 10-automatic sequences.

Formula

A000035(A055642(a(n))) = 0.

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

Mathematica

Select[Range[1110], Mod[Length[IntegerDigits[#1]], 2] == 0 && Mod[Length[Union[IntegerDigits[#1]]], 2] == 1 & ]
endQ[n_]:=Module[{idn=IntegerDigits[n]}, EvenQ[Length[idn]]&&OddQ[ Length[ Union[ idn]]]]; Select[Range[1200], endQ] (* Harvey P. Dale, Mar 31 2019 *)

Crossrefs

Cf. A000035, A001637, A043537, A055642, A280823, A280824, A280825.

Sequence in context: A333440 A056524 A110745 * A020338 A052191 A321536

Adjacent sequences: A280823 A280824 A280825 * A280827 A280828 A280829

Keyword

nonn,base,easy

Author

Ilya Gutkovskiy, Jan 08 2017

Status

approved