id:A078839 - OEIS Search Results

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Numbers n such that the binary expansion of 3^n has the same number of 0's and 1's.

+0
1

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 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`Does the limit of a(n)/n^2 as n -> infinity exist?`
	MATHEMATICA	`balanced[n_] := Module[{d=IntegerDigits[n, 2]}, Plus@@d==Length[d]/2]; Select[Range[0, 5500], balanced[3^# ]&]`
	CROSSREFS	`Cf. A031443, A011754.` `Sequence in context: A000954 A056636 A128103 this_sequence A026306 A116398 A001542` `Adjacent sequences: A078836 A078837 A078838 this_sequence A078840 A078841 A078842`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Dec 06 2002`

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Last modified December 6 22:55 EST 2009. Contains 170429 sequences.

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