A316842 Three-column table read by rows giving primitive integer sides of proper triangles (i,j,k) with i >= j >= k >= 1, j+k > i, gcd(i,j,k) = 1.

1, 1, 1, 2, 2, 1, 3, 2, 2, 3, 3, 1, 3, 3, 2, 4, 3, 2, 4, 3, 3, 4, 4, 1, 4, 4, 3, 5, 3, 3, 5, 4, 2, 5, 4, 3, 5, 4, 4, 5, 5, 1, 5, 5, 2, 5, 5, 3, 5, 5, 4, 6, 4, 3, 6, 5, 2, 6, 5, 3, 6, 5, 4, 6, 5, 5, 6, 6, 1, 6, 6, 5, 7, 4, 4, 7, 5, 3, 7, 5, 4, 7, 5, 5, 7, 6, 2, 7, 6, 3, 7, 6, 4, 7, 6, 5, 7, 6, 6, 7, 7, 1, 7, 7, 2, 7, 7, 3, 7, 7, 4, 7, 7, 5, 7, 7, 6, 8, 5, 4

Offset

1,4

Links

Lars Blomberg, Table of n, a(n) for n = 1..9000

Example

Table begins:
[1,1,1],
[2,2,1],
[3,2,2],
[3,3,1],
[3,3,2],
[4,3,2],
[4,3,3],
[4,4,1],
[4,4,3],
[5,3,3],
[5,4,2],
...

Crossrefs

There are A123323(k) rows that begin with k.

The three columns are A316846, A316847, A316848.

A316850 is a compressed version.

See A316841 for all triples (including imprimitive triples).

See A316852 and A317181 & A317183 for perimeter and area.

Other related sequences: A051493, A070080, A070081, A070082, A070110.

Sequence in context: A343188 A326394 A228425 * A329466 A347627 A263107

Adjacent sequences: A316839 A316840 A316841 * A316843 A316844 A316845

Keyword

nonn,tabf,look

Author

N. J. A. Sloane, Jul 23 2018, following a suggestion from Donald S. McDonald

Status

approved