login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A351747
a(n) = Sum_{p|n, p prime} n^lcm(p,n/p).
0
0, 4, 27, 16, 3125, 93312, 823543, 4096, 729, 20000000000, 285311670611, 8916103434240, 302875106592253, 22224013651116032, 875787780761718750, 4294967296, 827240261886336764177, 39346408075296571587648, 1978419655660313589123979, 104857600000010240000000000
OFFSET
1,2
EXAMPLE
a(6) = 93312; a(6) = Sum_{p|6, p prime} 6^lcm(p,6/p) = 6^lcm(2,6/2) + 6^lcm(3,6/3) = 6^6 + 6^6 = 93312.
CROSSREFS
Cf. A345302.
Sequence in context: A176147 A176031 A093845 * A250095 A085702 A068349
KEYWORD
nonn
AUTHOR
Wesley Ivan Hurt, Feb 17 2022
STATUS
approved