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A078839
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Numbers k such that the binary expansion of 3^k has the same number of 0's and 1's.
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1
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2, 12, 69, 73, 150, 184, 252, 328, 339, 464, 483, 541, 729, 747, 758, 763, 1014, 1047, 1090, 1094, 1158, 1264, 1359, 1601, 1679, 1693, 1698, 1780, 2368, 2641, 2815, 3292, 3393, 3606, 3682, 3857, 3909, 3919, 3963, 4087, 4111, 4289, 4314, 5017, 5398, 5466
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OFFSET
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1,1
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COMMENTS
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Does the limit of a(n)/n^2 as n -> infinity exist?
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LINKS
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MATHEMATICA
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balanced[n_] := Module[{d=IntegerDigits[n, 2]}, Plus@@d==Length[d]/2]; Select[Range[0, 5500], balanced[3^# ]&]
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PROG
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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