A181986 Digitally balanced numbers: ternary numbers which have the same number of 0's as 1's as 2's.

102, 120, 201, 210, 100122, 100212, 100221, 101022, 101202, 101220, 102012, 102021, 102102, 102120, 102201, 102210, 110022, 110202, 110220, 112002, 112020, 112200, 120012, 120021, 120102, 120120, 120201, 120210, 121002, 121020, 121200, 122001, 122010, 122100

Offset

1,1

Comments

This is to A071925 as base 3 A007089 is to base 2 A007088. A049354 digitally balanced numbers in base 3: equal numbers of 0's, 1's, 2's, beginning 11, 15, 19, 21, 260, ... is the same sequence, but expressed in base 10. The terms of this sequence are represented directly in base 3.

Links

Alois P. Heinz, Table of n, a(n) for n = 1..2000

Example

100122 is an element because it contains two each of "0" and "1" and "2".

Mathematica

Select[FromDigits/@Flatten[Permutations/@Table[PadRight[{}, 3n, {0, 1, 2}], {n, 2}], 1], Mod[IntegerLength[#], 3]==0&]//Sort (* Harvey P. Dale, Mar 15 2020 *)

Crossrefs

Cf. A007089, A031443, A049354, A071925.

Sequence in context: A127665 A097037 A035480 * A107838 A095637 A023059

Adjacent sequences: A181983 A181984 A181985 * A181987 A181988 A181989

Keyword

nonn,base

Author

Jonathan Vos Post, Apr 04 2012

Extensions

More terms from Alois P. Heinz, Apr 05 2012

Status

approved