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A272243
a(n) is the smallest number greater than a(n-1) that is expressible as the sum of two positive integers x + y = a(n), so that (x, y, a(n)) is an abc-hit, in more ways than a(n-1).
1
9, 81, 625, 729, 6561, 15625, 117649, 390625
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.
CROSSREFS
Cf. A272242.
Cf. A120498, A130510 (possible values of c in abc-hits).
Cf. A225426 (triples of abc-hits).
Cf. A130512 (radicals of abc-hits).
Cf. A007947 (radicals).
Sequence in context: A223882 A267961 A213297 * A272242 A206728 A206857
KEYWORD
nonn,more
AUTHOR
Vladimir Letsko, Apr 23 2016
STATUS
approved