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.

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, 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, 2, 3, 4, 2, 3, 5, 6, 2, 3, 5, 2, 3, 6, 2, 3, 2, 4, 5, 6

Offset: 0

Author

Paolo Xausa, Mar 28 2024

Keywords

• nonn
• base
• tabf
• easy

Examples

			Triangle begins:
  [0] 1;
  [1] 0;
  [2] 2;
  [3] 0;
  [4] 2, 3;
  [5] 2;
  [6] 3;
  [7] 0;
  [8] 2, 3, 4;
  ...
Row n = 50 is 3, 4, 6:
  binary expansion of 50: 1 1 0 0 1 0
  positions of zeros:     - - 3 4 - 6
		

Links

• Paolo Xausa, Table of n, a(n) for n = 0..10384 (rows 0..2200 of the triangle, flattened).

Crossrefs

Cf. A359359 (row sums), A371572 (position of ones).

Cf. A368494.

Programs

Mathematica

Array[Replace[Flatten[Position[IntegerDigits[#, 2], 0]], {} -> {0}] &, 50, 0]