This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A101082 Numbers n such that binary representation contains bit strings "10" and "01" (possibly overlapping). 15
 5, 9, 10, 11, 13, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 29, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 49, 50, 51, 52, 53, 54, 55, 57, 58, 59, 61, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Subsequence of A062289; set difference A062289 minus A043569. Complement of A023758. Also numbers not the sum of consecutive powers of 2. - Omar E. Pol, Mar 04 2013 Equivalently, numbers not the difference of two powers of two. - Charles R Greathouse IV, Mar 07 2013 The terms >=9 are bases in which a power of 2 exists, which does not contain a digit that is a power of 2. - Patrick Wienhöft, Jul 28 2016 LINKS Reinhard Zumkeller, Table of n, a(n) for n = 1..10000 Patrick Wienhöft, Python program FORMULA a(n) ~ n. In particular a(n) = n + (log_2 n)^2/2 + O(log n). - Charles R Greathouse IV, Mar 07 2013 A049502(a(n)) > 0. - Reinhard Zumkeller, Jun 17 2015 EXAMPLE In base 10, 2^16 = 65536 is such a number, as it does not contain any one-digit power of 2, which in base 10 are 1, 2, 4 and 8. - Patrick Wienhöft, Jul 28 2016 MATHEMATICA Select[Range@ 120, Function[d, Times @@ Total@ Map[Map[Function[k, Boole@ MatchQ[#, k]], {{1, 0}, {0, 1}}] &, Partition[d, 2, 1]] > 0]@ IntegerDigits[#, 2] &] (* Michael De Vlieger, Dec 23 2016 *) PROG (PARI) is(n)=n>>=valuation(n, 2); n+1!=1< 0) . a049502) [0..] -- Reinhard Zumkeller, Jun 17 2015 CROSSREFS Complement: A023758. Cf. A043569, A062289, A049502. Sequence in context: A325204 A163670 A187713 * A277706 A300669 A166934 Adjacent sequences:  A101079 A101080 A101081 * A101083 A101084 A101085 KEYWORD nonn,easy AUTHOR Rick L. Shepherd, Nov 29 2004 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified October 22 18:00 EDT 2019. Contains 328319 sequences. (Running on oeis4.)