A354040 a(n) is the least k such that A353709(k) has Hamming weight n.

0, 1, 5, 17, 73, 245, 1037, 4624, 11829, 30940, 116701, 374756, 1205149, 2643792, 7516934, 27309591, 102243621

Offset

0,3

Comments

This sequence is strictly increasing.

Links

Table of n, a(n) for n=0..16.

Rémy Sigrist, C++ program

Example

For n = 3:
- the first terms of A353709, alongside their Hamming weight, are:
  k             | 0, 1, 2, 3, 4, 5, 6,  7,  8,  9,  10, 11, 12, 13, 14, 15, 16, 17
  A353709(k)    | 0, 1, 2, 4, 8, 3, 16, 12, 32, 17, 6,  40, 64, 5,  10, 48, 65, 14
  h(A353709(k)) | 0, 1, 1, 1, 1, 2, 1,  2,  1,  2,  2,  2,  1,  2,  2,  2,  2,  3
- the first term of A353709 with Hamming weight 3 is A353709(17) = 14,
- so a(3) = 17.

Prog

(C++) See Links section.

Crossrefs

Cf. A000120, A353709, A354041.

Sequence in context: A324800 A146577 A211405 * A187823 A297625 A084777

Adjacent sequences: A354037 A354038 A354039 * A354041 A354042 A354043

Keyword

nonn,base,more

Author

Rémy Sigrist, May 15 2022

Status

approved