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 A044951 Numbers with no two equally numerous base 2 digits. 6
 1, 3, 4, 5, 6, 7, 8, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 36, 39, 40, 43, 45, 46, 47, 48, 51, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Michael De Vlieger, Table of n, a(n) for n = 1..14031 (all terms k <= 2^14). Jason Bell, Thomas Finn Lidbetter, Jeffrey Shallit, Additive Number Theory via Approximation by Regular Languages, arXiv:1804.07996 [cs.FL], 2018. Thomas Finn Lidbetter, Counting, Adding, and Regular Languages, Master's Thesis, University of Waterloo, Ontario, Canada, 2018. FORMULA a(n) ~ n. - Charles R Greathouse IV, Apr 18 2020 EXAMPLE From Michael De Vlieger, Feb 07 2019: (Start) 11 (binary 1011) has more 1's than 0's, thus it is in the sequence. 12 (binary 1100) has an equal number of 0's and 1's, thus it is not in the sequence. (End) MATHEMATICA Select[Range@ 77, UnsameQ @@ DigitCount[#, 2] &] (* Michael De Vlieger, Feb 07 2019 *) PROG (PARI) is(n)=2*hammingweight(n)!=exponent(n)+1 \\ Charles R Greathouse IV, Apr 18 2020 CROSSREFS Cf. A072600 (#0's < #1's), A072601 (#0's <= #1's), A031443 (#0's = #1's). Cf. A072602 (#0's >= #1's), A072603 (#0's > #1's), this sequence (#0's <> #1's). Sequence in context: A261604 A120561 A051016 * A138308 A039084 A277641 Adjacent sequences:  A044948 A044949 A044950 * A044952 A044953 A044954 KEYWORD nonn,base,easy AUTHOR STATUS approved

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Last modified May 25 06:50 EDT 2020. Contains 334584 sequences. (Running on oeis4.)