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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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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.

Original entry on oeis.org

9, 81, 625, 729, 87808, 14641, 130321, 6561, 65536, 59049, 78125
Offset: 1

Views

Author

Vladimir Letsko, Apr 23 2016

Keywords

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.
Conjecture: a(n) > 0 for all n. - Jianing Song, Sep 21 2018

Examples

			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.

Links

Crossrefs

Cf. A272243.
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).
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Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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