OFFSET
0,10
FORMULA
a(n) = Sum_{j=1..floor(n/3)} Sum_{i=j..floor((n-j)/2)} [d(j) = d(i) = d(n-i-j)], where d(n) is the number of divisors of n and [ ] is the (generalized) Iverson bracket.
EXAMPLE
a(17) = 5; there are 5 ways to write 17 as the sum of 3 positive integers with the same number of divisors: 2+2+13 = 3+3+11 = 3+7+7 = 4+4+9 = 5+5+7.
CROSSREFS
KEYWORD
nonn
AUTHOR
Wesley Ivan Hurt, Jun 25 2022
STATUS
approved