OFFSET
0,2
COMMENTS
a(27)=630, a(29)=60, a(30)=420. No solutions were found for n={25,26,28} with k<10^5.
EXAMPLE
For n=8, a(n)=5 because 5 is the smallest integer such that 5*x*y*z = (x+5)*(y+5)*(z+5), 0 < x <= y <= z has exactly 8 positive integer solutions: {{2,12,595}, {2,14,95}, {2,15,70}, {2,20,35}, {3,6,220}, {3,10,20}, {4,5,45}, {5,5,20}}.
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Zhining Yang, Oct 28 2024
EXTENSIONS
a(12) corrected by Jinyuan Wang, Dec 04 2024
STATUS
approved