cp's OEIS Frontend

A333767 Length of shortest run of zeros after a one in the binary expansion of n. a(0) = 0.

%I A333767 #7 Apr 06 2020 22:12:52
%S A333767 0,0,1,0,2,0,0,0,3,0,1,0,0,0,0,0,4,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,5,0,
%T A333767 1,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,1,0,
%U A333767 2,0,0,0,2,0,1,0,0,0,0,0,1,0,1,0,1,0,0
%N A333767 Length of shortest run of zeros after a one in the binary expansion of n. a(0) = 0.
%F A333767 For n > 0, a(n) = A333768(n) - 1.
%e A333767 The binary expansion of 148 is (1,0,0,1,0,1,0,0), so a(148) = 1.
%t A333767 stc[n_]:=Differences[Prepend[Join@@Position[Reverse[IntegerDigits[n,2]],1],0]]//Reverse;
%t A333767 Table[If[n==0,0,Min@@stc[n]-1],{n,0,100}]
%Y A333767 Positions of first appearances (ignoring index 0) are A000079.
%Y A333767 Positions of terms > 0 are A022340.
%Y A333767 Minimum prime index is A055396.
%Y A333767 The  maximum part minus 1 is given by A087117.
%Y A333767 All of the following pertain to compositions in standard order (A066099):
%Y A333767 - Length is A000120.
%Y A333767 - Compositions without 1's are A022340.
%Y A333767 - Sum is A070939.
%Y A333767 - Product is A124758.
%Y A333767 - Runs are counted by A124767.
%Y A333767 - Strict compositions are A233564.
%Y A333767 - Constant compositions are A272919.
%Y A333767 - Runs-resistance is A333628.
%Y A333767 - Maximum is A333766.
%Y A333767 - Minimum is A333768.
%Y A333767 - Weakly decreasing compositions are A114994.
%Y A333767 - Weakly increasing compositions are A225620.
%Y A333767 - Strictly decreasing compositions are A333255.
%Y A333767 - Strictly increasing compositions are A333256.
%Y A333767 Cf. A029931, A048793, A228351, A328594, A333217, A333218, A333219, A333632.
%K A333767 nonn
%O A333767 0,5
%A A333767 _Gus Wiseman_, Apr 06 2020