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A181986
Digitally balanced numbers: ternary numbers which have the same number of 0's as 1's as 2's.
3
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
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
KEYWORD
nonn,base
AUTHOR
Jonathan Vos Post, Apr 04 2012
EXTENSIONS
More terms from Alois P. Heinz, Apr 05 2012
STATUS
approved