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

0,3

Links

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

Example

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

Mathematica

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

Crossrefs

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

Cf. A368494.

Sequence in context: A285721 A214292 A212184 * A033769 A333636 A074660

Adjacent sequences: A371568 A371569 A371570 * A371572 A371573 A371574

Keyword

nonn,base,tabf,easy

Author

Paolo Xausa, Mar 28 2024

Status

approved