A107572 - OEIS

A107572

List of triples a,b,c that are sidelengths of a scalene triangle; a<b<c, lexically by perimeter.

2, 3, 4, 2, 4, 5, 3, 4, 5, 2, 5, 6, 3, 4, 6, 3, 5, 6, 2, 6, 7, 3, 5, 7, 4, 5, 6, 3, 6, 7, 4, 5, 7, 2, 7, 8, 3, 6, 8, 4, 5, 8, 4, 6, 7, 3, 7, 8, 4, 6, 8, 5, 6, 7, 2, 8, 9, 3, 7, 9, 4, 6, 9, 4, 7, 8, 5, 6, 8, 3, 8, 9, 4, 7, 9, 5, 6, 9, 5, 7, 8, 2, 9, 10, 3, 8, 10, 4, 7, 10, 4, 8, 9, 5, 6, 10, 5, 7, 9, 6, 7, 8, 3

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OFFSET

1,1

COMMENTS

The number of such triangles of perimeter n+6 is Alcuin's sequence, as noted at A005044.

LINKS

Table of n, a(n) for n=1..103.

EXAMPLE

(2,3,4) is the least such triangle, followed by (2,4,5) and then (3,4,5).

CROSSREFS

Cf. A107573, A107574, A107575, A107576, A107577, A005044, A070080.

Sequence in context: A286844 A354384 A338272 * A043264 A268444 A117826

Adjacent sequences: A107569 A107570 A107571 * A107573 A107574 A107575

KEYWORD

nonn,tabf

AUTHOR

Clark Kimberling, May 16 2005

STATUS

approved