A256590 -id:A256590 - cp's OEIS frontend

A386289 a(n) is the Hamming weight of A256590(n).

0, 1, 3, 5, 6, 7, 6, 9, 6, 14, 17, 13, 15, 23, 25, 27, 29, 20, 37, 20, 20, 47, 39, 36, 51, 57, 57, 24, 63, 50, 62, 81, 62, 67, 81, 87, 81, 105, 40, 78, 70, 95, 103, 99, 90, 94, 102, 90, 119, 72, 122, 125, 100, 143, 145, 171, 138, 149, 141, 169, 72, 155, 116

Offset: 1

Rémy Sigrist, Jul 17 2025

			a(7) = A000120(46656) = 6.

Rémy Sigrist, Table of n, a(n) for n = 1..3898
Rémy Sigrist, PARI program

Cf. A000120, A256590, A386249.

PARI
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a(n) = A000120(A256590(n)).

A386290 a(1) = a(2) = 1, and for n > 2, a(n) is the unique k such that A256590(n) = A000120(A256590(n))^k.

Original entry on oeis.org

1, 1, 4, 4, 5, 5, 6, 5, 8, 8, 8, 10, 10, 10, 11, 12, 13, 15, 13, 16, 17, 14, 17, 19, 18, 18, 19, 26, 20, 23, 23, 23, 26, 26, 25, 25, 27, 27, 35, 30, 31, 31, 31, 32, 33, 34, 34, 35, 33, 39, 35, 36, 40, 38, 39, 40, 42, 42, 43, 42, 51, 44, 47, 44, 59, 47, 50, 48

Offset: 1

Rémy Sigrist, Jul 17 2025

			For n = 8: A256590(8) = 59049 = 9^5 = A000120(59049)^5, so a(8) = 5.

Rémy Sigrist, Table of n, a(n) for n = 1..3898
Rémy Sigrist, PARI program

Cf. A000120, A256590, A386248, A386289.

PARI
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A256590(n) = A386289(n)^a(n).

cp's OEIS Frontend

A386289 a(n) is the Hamming weight of A256590(n).

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