A351845 a(n) = Sum_{d|n} Sum_{p|n, p prime} n^lcm(d,p).

0, 8, 54, 288, 6250, 187128, 1647086, 16781440, 387421947, 40000200200, 570623341222, 26748313313184, 605750213184506, 44448027513059464, 1751575561524963000, 18446744078004584960, 1654480523772673528354, 118039224226088108077848, 3956839311320627178247958

Offset

1,2

Links

Table of n, a(n) for n=1..19.

Index entries for sequences related to lcm's

Example

a(6) = 187128; a(6) = Sum_{d|6} Sum_{p|6, p prime} 6^lcm(d,p) = Sum_{d|6} (6^lcm(d,2) + 6^lcm(d,3)) = (6^lcm(1,2) + 6^lcm(2,2) + 6^lcm(3,2) + 6^lcm(6,2)) + (6^lcm(1,3) + 6^lcm(2,3) + 6^lcm(3,3) + 6^lcm(6,3)) = 187128.

Crossrefs

Cf. A351758, A351844.

Sequence in context: A355553 A122657 A152692 * A037966 A091433 A081899

Adjacent sequences: A351842 A351843 A351844 * A351846 A351847 A351848

Keyword

nonn

Author

Wesley Ivan Hurt, Feb 21 2022

Status

approved