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Numbers whose base-4 representation contains exactly one 0 and no 3's.
0

%I #16 May 24 2023 04:01:14

%S 0,4,8,17,18,20,24,33,34,36,40,69,70,73,74,81,82,84,88,97,98,100,104,

%T 133,134,137,138,145,146,148,152,161,162,164,168,277,278,281,282,293,

%U 294,297,298,325,326,329,330,337,338,340,344,353

%N Numbers whose base-4 representation contains exactly one 0 and no 3's.

%t Select[Range[0,400],DigitCount[#,4,0]==1&&DigitCount[#,4,3]==0&] (* _Harvey P. Dale_, Nov 16 2011 *)

%Y Cf. A007090.

%K nonn,base

%O 1,2

%A _Clark Kimberling_

%E a(1) = 0 inserted by _Georg Fischer_, Jun 28 2019