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A354040 a(n) is the least k such that A353709(k) has Hamming weight n. 2
0, 1, 5, 17, 73, 245, 1037, 4624, 11829, 30940, 116701, 374756, 1205149, 2643792, 7516934, 27309591, 102243621 (list; graph; refs; listen; history; text; internal format)
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

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Last modified August 7 15:47 EDT 2022. Contains 355994 sequences. (Running on oeis4.)