A368494 Irregular triangle read by rows: row n lists the 1-based positions (starting from the right) of zeros in the binary expansion of n, or 0 if the binary expansion of n contains only ones.

1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 3, 2, 3, 1, 3, 3, 1, 2, 2, 1, 0, 1, 2, 3, 4, 2, 3, 4, 1, 3, 4, 3, 4, 1, 2, 4, 2, 4, 1, 4, 4, 1, 2, 3, 2, 3, 1, 3, 3, 1, 2, 2, 1, 0, 1, 2, 3, 4, 5, 2, 3, 4, 5, 1, 3, 4, 5, 3, 4, 5, 1, 2, 4, 5, 2, 4, 5, 1, 4, 5, 4, 5, 1, 2, 3, 5, 2, 3, 5

Offset

0,6

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

Mathematica

Array[Replace[Flatten[Position[Reverse[IntegerDigits[#, 2]], 0]], {} -> {0}] &, 100, 0]

Crossrefs

Cf. A030308, A359400 (row sums), A048793 (positions of ones).

Sequence in context: A123149 A185158 A185700 * A061926 A180835 A053188

Adjacent sequences: A368491 A368492 A368493 * A368495 A368496 A368497

Keyword

nonn,base,tabf,easy

Author

Paolo Xausa, Mar 18 2024

Status

approved