A044959 Numbers with no two equally numerous base 10 digits.

1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44, 55, 66, 77, 88, 99, 100, 101, 110, 111, 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, 222, 223, 224, 225, 226, 227, 228, 229

Offset

1,2

Comments

The terms in the database for this sequence (a) also match two other descriptions: (b) numbers with a majority of one digit and (c) numbers with a plurality of one digit. These sequences diverge at 1002, which is in (c) but not (a) or (b); the first difference between (a) and (b) is 10002, in (b) but not (a). 100012 is the first number in (a) but not (b). (a) and (b) are both subsequences of (c). - Franklin T. Adams-Watters, Sep 05 2006

Links

Paolo Xausa, Table of n, a(n) for n = 1..10000

Mathematica

A044959Q[k_] := DuplicateFreeQ[Tally[IntegerDigits[k]][[All, 2]]];
Select[Range[300], A044959Q] (* Paolo Xausa, Oct 27 2025 *)

Crossrefs

Sequence in context: A071242 A385298 A378560 * A353181 A306273 A141033

Adjacent sequences: A044956 A044957 A044958 * A044960 A044961 A044962

Keyword

nonn,base

Author

Clark Kimberling

Extensions

More terms from Paolo Xausa, Oct 27 2025

Status

approved