A144795 A positive integer n is included if every 1 in binary n is next to at least one other 1.

3, 6, 7, 12, 14, 15, 24, 27, 28, 30, 31, 48, 51, 54, 55, 56, 59, 60, 62, 63, 96, 99, 102, 103, 108, 110, 111, 112, 115, 118, 119, 120, 123, 124, 126, 127, 192, 195, 198, 199, 204, 206, 207, 216, 219, 220, 222, 223, 224, 227, 230, 231, 236, 238, 239, 240, 243, 246

Offset

1,1

Comments

n is included if A144790(n) >= 2.

A173024 is a subsequence. - Reinhard Zumkeller, Feb 07 2010

Links

Michael De Vlieger, Table of n, a(n) for n = 1..10000

Maple

isA144795 := proc(n) local bind, i ; bind := convert(n, base, 2) ; for i from 1 to nops(bind) do if i = 1 then if op(i, bind) = 1 and op(i+1, bind) = 0 then RETURN(false) : fi; elif i = nops(bind) then if op(i, bind) = 1 and op(i-1, bind) = 0 then RETURN(false) : fi; else if op(i, bind) = 1 and op(i-1, bind) = 0 and op(i+1, bind) = 0 then RETURN(false) : fi; fi; od: RETURN(true) ; end: for n from 3 to 400 do if isA144795(n) then printf("%d, ", n) ; fi; od: # R. J. Mathar, Sep 29 2008

Mathematica

Select[Range@ 250, AllTrue[Map[Length, Select[Split@ IntegerDigits[#, 2], First@ # == 1 &]], # > 1 &] &] (* Michael De Vlieger, Aug 20 2017 *)

Crossrefs

Cf. A144790, A144794.

Cf. A004760, A173022, A005251, A173025. - Reinhard Zumkeller, Feb 07 2010

Sequence in context: A095029 A028792 A325804 * A364292 A077459 A048717

Adjacent sequences: A144792 A144793 A144794 * A144796 A144797 A144798

Keyword

base,nonn

Author

Leroy Quet, Sep 21 2008

Extensions

Extended by R. J. Mathar, Sep 29 2008

Status

approved