A316841 - OEIS

A316841

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

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,4

LINKS

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

EXAMPLE

Table begins (imprimitive triples are labeled i):

[1,1,1],

[2,2,1],

[2,2,2],i

[3,2,2],

[3,3,1],

[3,3,2],

[3,3,3],i

[4,3,2],

[4,3,3],

[4,4,1],

[4,4,2],i

[4,4,3],

[4,4,4],i

[5,3,3],

...

PROG

(PARI) for(i=1, 6, for(j=1, i, for(k=1, j, if(j+k>i, print1(i, ", ", j, ", ", k, ", "))))) \\ Hugo Pfoertner, Jan 25 2020

CROSSREFS

There are A002620(k+1) rows that begin with k.

The three columns are A316843, A316844, A316845.

A316849 is a compressed version.

See A316842 for primitive triples.

See A316851 and A316853 & A317182 for perimeter and area.

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

Sequence in context: A166597 A375325 A302490 * A000003 A234398 A168208

Adjacent sequences: A316838 A316839 A316840 * A316842 A316843 A316844

KEYWORD

nonn,look,tabf

AUTHOR

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

STATUS

approved