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

Author

Rémy Sigrist, May 15 2022

Keywords

• nonn
• base
• more

Comments

This sequence is strictly increasing.

Examples

			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.
		

Links

• Rémy Sigrist, C++ program

Crossrefs

Cf. A000120, A353709, A354041.