

A316841


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


18



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
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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: A029350 A166597 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



