cp's OEIS Frontend

A371571 Irregular triangle read by rows: row n lists the 1-based positions (starting from the left) of zeros in the binary expansion of n, or 0 if the binary expansion of n contains only ones.

%I A371571 #11 Apr 04 2024 15:39:37
%S A371571 1,0,2,0,2,3,2,3,0,2,3,4,2,3,2,4,2,3,4,3,4,0,2,3,4,5,2,3,4,2,3,5,2,3,
%T A371571 2,4,5,2,4,2,5,2,3,4,5,3,4,3,5,3,4,5,4,5,0,2,3,4,5,6,2,3,4,5,2,3,4,6,
%U A371571 2,3,4,2,3,5,6,2,3,5,2,3,6,2,3,2,4,5,6
%N A371571 Irregular triangle read by rows: row n lists the 1-based positions (starting from the left) of zeros in the binary expansion of n, or 0 if the binary expansion of n contains only ones.
%H A371571 Paolo Xausa, <a href="/A371571/b371571.txt">Table of n, a(n) for n = 0..10384</a> (rows 0..2200 of the triangle, flattened).
%e A371571 Triangle begins:
%e A371571   [0] 1;
%e A371571   [1] 0;
%e A371571   [2] 2;
%e A371571   [3] 0;
%e A371571   [4] 2, 3;
%e A371571   [5] 2;
%e A371571   [6] 3;
%e A371571   [7] 0;
%e A371571   [8] 2, 3, 4;
%e A371571   ...
%e A371571 Row n = 50 is 3, 4, 6:
%e A371571   binary expansion of 50: 1 1 0 0 1 0
%e A371571   positions of zeros:     - - 3 4 - 6
%t A371571 Array[Replace[Flatten[Position[IntegerDigits[#, 2], 0]], {} -> {0}] &, 50, 0]
%Y A371571 Cf. A359359 (row sums), A371572 (position of ones).
%Y A371571 Cf. A368494.
%K A371571 nonn,base,tabf,easy
%O A371571 0,3
%A A371571 _Paolo Xausa_, Mar 28 2024