A354041 a(n) is the earliest term of A353709 with Hamming weight n.

0, 1, 3, 14, 30, 31, 252, 508, 1020, 511, 1535, 2047, 4095, 8191, 16383, 49151, 65535

Offset: 0

Author

Rémy Sigrist, May 15 2022

Keywords

• nonn
• base
• more

Comments

This sequence is not 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) = 14.
		

Links

• Rémy Sigrist, C++ program

Crossrefs

Cf. A000120, A353709, A354040.

Formula

a(n) = A353709(A354040(n)).