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A338202
a(n) is the number of unit perimeter triangles with rational side lengths whose largest denominator is less than or equal to n.
2
0, 0, 1, 1, 2, 2, 4, 5, 7, 8, 12, 14, 19, 21, 26, 30, 38, 42, 52, 60, 70, 76, 90, 98, 113, 122, 138, 152, 173, 186, 210, 226, 249, 265, 306, 324, 357, 377, 410, 442, 482, 514, 558, 592, 645, 675, 727, 759, 813, 848, 902, 950, 1015, 1053, 1140, 1210, 1277, 1326
OFFSET
1,5
COMMENTS
Partial sums of A338201.
a(n) is bounded above by A180360(n,3).
LINKS
EXAMPLE
For n = 8, the a(8) = 5 triangles have side lengths
1/3, 1/3, 1/3;
1/5, 2/5, 2/5;
2/7, 2/7, 3/7;
1/7, 3/7, 3/7; and
1/4, 3/8, 3/8.
CROSSREFS
Sequence in context: A120326 A036406 A029007 * A348552 A058678 A241410
KEYWORD
nonn
AUTHOR
Peter Kagey, Oct 16 2020
STATUS
approved