OFFSET
1,2
COMMENTS
The definition of the terms swaps the roles of the primes in the base and their exponents of A082872.
Contains A051674 as a subsequence at the prime positions n= 2, 3, 5, 7,.... Michel Marcus, Mar 14 2014
FORMULA
a(n) = sum_i [e_i*n^(p_i)], where n=product_i (p_i)^(e_i) is the prime factorization of n.
EXAMPLE
a(8) = a(2*2*2) = 8^2 + 8^2 + 8^2 = 192.
MAPLE
PROG
(PARI) a(n) = my(f = factor(n)); sum(i=1, #f~, f[i, 2]*n^f[i, 1]); \\ Michel Marcus, Mar 14 2014
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
R. J. Mathar, Mar 14 2014
STATUS
approved