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Numbers whose base-4 representation has the same nonzero number of 0's and 2's.
0

%I #16 Jun 28 2021 04:36:00

%S 8,18,24,33,35,36,44,50,56,70,73,75,78,82,88,97,99,100,108,114,120,

%T 130,133,135,136,141,143,145,147,148,156,160,177,179,180,188,198,201,

%U 203,206,210,216,225,227,228,236,242,248,266,278,281,283,286,290,293

%N Numbers whose base-4 representation has the same nonzero number of 0's and 2's.

%t Select[Range[300],DigitCount[#,4,0]==DigitCount[#,4,2]>0&] (* _Harvey P. Dale_, Jun 03 2014 *)

%Y Cf. A007089.

%K nonn,base,easy

%O 1,1

%A _Olivier GĂ©rard_