OFFSET
0,2
COMMENTS
LINKS
Jon E. Schoenfield, Table of n, a(n) for n = 0..100
EXAMPLE
a(0) = 1 because there is only one number k whose 0th power (k^0 = 1) has exactly k divisors (namely, k=1).
a(2) = 2 because there are two numbers k such that tau(k^2) = k: tau(1^2) = tau(1) = 1 and tau(3^2) = tau(9) = 3.
a(43) = 10 because there are 10 numbers k such that tau(k^43) = k: 1, 7569, 2197000, 4296680960, 11128700700, 16629093000, 223705109760, 19462344549120, 32521578186240, and 5580197619796800.
CROSSREFS
KEYWORD
nonn
AUTHOR
Jon E. Schoenfield, Jan 26 2019
STATUS
approved