A334677 Number of integer-sided triangles with nonintegral area and perimeter A009005(n).

1, 1, 1, 2, 1, 3, 2, 4, 2, 5, 4, 7, 4, 8, 6, 10, 8, 12, 10, 14, 11, 16, 14, 19, 16, 21, 18, 24, 19, 27, 24, 30, 23, 33, 30, 37, 32, 40, 35, 44, 39, 48, 44, 52, 45, 56, 50, 61, 56, 65, 57, 70, 64, 75, 70, 80, 72, 85, 80, 91, 80, 96, 90, 102, 95, 108, 100, 114, 103, 120, 114

Offset

1,4

Links

Table of n, a(n) for n=1..71.

Wikipedia, Integer Triangle

Example

a(1) = 1; There is one integer-sided triangle with perimeter A009005(1) = 3 whose area is not an integer, [1,1,1] with area sqrt(3)/4.
a(2) = 1; There is one integer-sided triangle with perimeter A009005(2) = 5 whose area is not an integer, [1,2,2] with area sqrt(15)/4.

Crossrefs

Cf. A005044, A009005, A051516, A051518.

Sequence in context: A147541 A308308 A024162 * A365876 A179080 A294199

Adjacent sequences: A334674 A334675 A334676 * A334678 A334679 A334680

Keyword

nonn

Author

Wesley Ivan Hurt, May 08 2020

Status

approved