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A334677 Number of integer-sided triangles with nonintegral area and perimeter A009005(n). 0
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 (list; graph; refs; listen; history; text; internal format)
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 * A179080 A294199 A078658

Adjacent sequences:  A334674 A334675 A334676 * A334678 A334679 A334680

KEYWORD

nonn

AUTHOR

Wesley Ivan Hurt, May 08 2020

STATUS

approved

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Last modified September 21 19:57 EDT 2020. Contains 337273 sequences. (Running on oeis4.)