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A354041 a(n) is the earliest term of A353709 with Hamming weight n. 2
0, 1, 3, 14, 30, 31, 252, 508, 1020, 511, 1535, 2047, 4095, 8191, 16383, 49151, 65535 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

This sequence is not strictly increasing.

LINKS

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

Rémy Sigrist, C++ program

FORMULA

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

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) = 14.

PROG

(C++) See Links section.

CROSSREFS

Cf. A000120, A353709, A354040.

Sequence in context: A085762 A057870 A256053 * A031049 A014696 A235137

Adjacent sequences:  A354038 A354039 A354040 * A354042 A354043 A354044

KEYWORD

nonn,base,more

AUTHOR

Rémy Sigrist, May 15 2022

STATUS

approved

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Last modified June 26 10:48 EDT 2022. Contains 354881 sequences. (Running on oeis4.)