OFFSET
1,2
COMMENTS
If p is prime, a(n) = Sum_{d|p} d^Omega(d) = 1^0 + p^1 = p + 1.
EXAMPLE
a(8) = Sum_{d|8} d^Omega(d) = 1^0 + 2^1 + 4^2 + 8^3 = 531.
MATHEMATICA
Table[Sum[k^PrimeOmega[k] (1 - Ceiling[n/k] + Floor[n/k]), {k, n}], {n, 80}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Wesley Ivan Hurt, May 19 2021
STATUS
approved