cp's OEIS Frontend

A328869 Numbers whose lengths of runs of 1's in their reversed binary expansion are weakly increasing.

%I A328869 #5 Nov 12 2019 19:23:14
%S A328869 1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,17,18,20,21,24,25,26,27,28,29,30,
%T A328869 31,32,33,34,36,37,40,41,42,48,49,50,51,52,53,54,56,57,58,59,60,61,62,
%U A328869 63,64,65,66,68,69,72,73,74,80,81,82,84,85,96,97,98,99
%N A328869 Numbers whose lengths of runs of 1's in their reversed binary expansion are weakly increasing.
%e A328869 The sequence of terms together with their reversed binary expansions begins:
%e A328869    1: (1)
%e A328869    2: (01)
%e A328869    3: (11)
%e A328869    4: (001)
%e A328869    5: (101)
%e A328869    6: (011)
%e A328869    7: (111)
%e A328869    8: (0001)
%e A328869    9: (1001)
%e A328869   10: (0101)
%e A328869   12: (0011)
%e A328869   13: (1011)
%e A328869   14: (0111)
%e A328869   15: (1111)
%e A328869   16: (00001)
%e A328869   17: (10001)
%e A328869   18: (01001)
%e A328869   20: (00101)
%e A328869   21: (10101)
%e A328869   24: (00011)
%t A328869 Select[Range[100],LessEqual@@Length/@Split[Join@@Position[Reverse[IntegerDigits[#,2]],1],#2==#1+1&]&]
%Y A328869 Complement of A328870.
%Y A328869 The version for prime indices is A304678.
%Y A328869 The binary expansion of n has A069010(n) runs of 1's.
%Y A328869 Cf. A000120, A003714, A014081, A112769, A164707, A245563, A328592.
%K A328869 nonn
%O A328869 1,2
%A A328869 _Gus Wiseman_, Nov 12 2019