A107577 -id:A107577 - cp's OEIS frontend

A107572 List of triples a,b,c that are sidelengths of a scalene triangle; a

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

Offset: 1

Clark Kimberling, May 16 2005

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

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

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

A107576 a(n)=perimeter of n-th triangle listed at A107572.

Original entry on oeis.org

9, 11, 12, 13, 13, 14, 15, 15, 15, 16, 16, 17, 17, 17, 17, 18, 18, 18, 19, 19, 19, 19, 19, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 23, 23, 23, 24, 24, 24, 24, 24, 24, 24, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 26, 26, 26, 26, 26, 26

Offset: 1

Clark Kimberling, May 16 2005

nonn

The number of perimeters equal to n+6 is A005044(n).

			The first 5 integer-sided scalene triangles (a,b,c) with a<b<c are (2,3,4), (2,4,5), (3,4,5), (2,5,6), (3,4,6), of which the perimeters are 9,11,12,13,13.

Cf. A107572, A107573, A107574, A107575, A107577, A005044, A070080.

A107573 a(n)=least sidelength of n-th triangle listed at A107572.

Original entry on oeis.org

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

Offset: 1

Clark Kimberling, May 16 2005

nonn

			The first 5 integer-sided scalene triangles (a,b,c) with a<b<c are (2,3,4), (2,4,5), (3,4,5), (2,5,6), (3,4,6), of which the least sidelengths are 2,2,3,2,3

Cf. A107572, A107574, A107575, A107576, A107577, A005044, A070080.

A107574 a(n)=middle sidelength of n-th triangle listed at A107572.

Original entry on oeis.org

3, 4, 4, 5, 4, 5, 6, 5, 5, 6, 5, 7, 6, 5, 6, 7, 6, 6, 8, 7, 6, 7, 6, 8, 7, 6, 7, 9, 8, 7, 8, 6, 7, 7, 9, 8, 7, 8, 7, 10, 9, 8, 9, 7, 8, 7, 8, 10, 9, 8, 9, 7, 8, 8, 11, 10, 9, 10, 8, 9, 7, 8, 9, 8, 11, 10, 9, 10, 8, 9, 8, 9, 12, 11, 10, 11, 9, 10, 8, 9, 10, 8, 9, 9, 12, 11, 10, 11, 9, 10, 8, 9, 10, 9, 13

Offset: 1

Clark Kimberling, May 16 2005

nonn

			The first 5 integer-sided scalene triangles (a,b,c) with a<b<c are (2,3,4), (2,4,5), (3,4,5), (2,5,6), (3,4,6), of which the middle sidelengths are 3,4,4,5,4.

Cf. A107572, A107573, A107575, A107576, A107577, A005044, A070080.

A107575 a(n)=greatest sidelength of n-th triangle listed at A107572.

Original entry on oeis.org

4, 5, 5, 6, 6, 6, 7, 7, 6, 7, 7, 8, 8, 8, 7, 8, 8, 7, 9, 9, 9, 8, 8, 9, 9, 9, 8, 10, 10, 10, 9, 10, 9, 8, 10, 10, 10, 9, 9, 11, 11, 11, 10, 11, 10, 10, 9, 11, 11, 11, 10, 11, 10, 9, 12, 12, 12, 11, 12, 11, 12, 11, 10, 10, 12, 12, 12, 11, 12, 11, 11, 10, 13, 13, 13, 12, 13, 12, 13, 12, 11

Offset: 1

Clark Kimberling, May 16 2005

nonn

			The first 5 integer-sided scalene triangles (a,b,c) with a<b<c are (2,3,4), (2,4,5), (3,4,5), (2,5,6), (3,4,6), of which the greatest sidelengths are 4,5,5,6,6.

Cf. A107572, A107573, A107574, A107576, A107577, A005044, A070080.

cp's OEIS Frontend

A107572 List of triples a,b,c that are sidelengths of a scalene triangle; a

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A107576 a(n)=perimeter of n-th triangle listed at A107572.

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A107573 a(n)=least sidelength of n-th triangle listed at A107572.

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A107574 a(n)=middle sidelength of n-th triangle listed at A107572.

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A107575 a(n)=greatest sidelength of n-th triangle listed at A107572.

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