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

Author

Jonathan Vos Post, Apr 04 2012

Keywords

• nonn
• base

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.

Examples

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

Links

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

Crossrefs

Cf. A007089, A031443, A049354, A071925.

Programs

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 *)

Extensions

More terms from Alois P. Heinz, Apr 05 2012