|
|
A272242
|
|
a(n) is the least number c such that there are exactly n abc-hits with third member c, or 0 if no such c exists.
|
|
1
|
|
|
9, 81, 625, 729, 87808, 14641, 130321, 6561, 65536, 59049, 78125
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
An abc-hit is a triple of coprime positive integers a, b, c such that a + b = c and rad(abc) < c, where rad(n) is the largest squarefree number dividing n.
|
|
LINKS
|
|
|
EXAMPLE
|
a(2) = 81 because there are exactly 2 abc-hits ((1, 80, 81) and (32, 49, 81)) with third member 81 and count of abc-hits with fixed third member c isn't equal to 2 for every c < 81.
|
|
CROSSREFS
|
Cf. A130512 (radicals of abc-hits).
|
|
KEYWORD
|
nonn,hard,more
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|