OFFSET
1,1
COMMENTS
Among the 42352 terms below 2*10^6 we observe that if multiples triangles correspond to a term their middle sides coincide. In this range there are perimeters common to 1, 2, 4, 8, and 16 triangles. The first such terms are a(1) = 12, a(4) = 84, a(36) = 1092, a(546) = 20748, a(14273) = 643188, and the corresponding middle sides are 4, 28, 364, 6916, and 214396. - Giovanni Resta, May 30 2020
LINKS
Giovanni Resta, Table of n, a(n) for n = 1..10000
Eric Weisstein's World of Mathematics, Heronian Triangle
Wikipedia, Heronian triangle
Wikipedia, Integer Triangle
CROSSREFS
KEYWORD
nonn
AUTHOR
Wesley Ivan Hurt, May 25 2020
EXTENSIONS
Terms a(27) and beyond from Giovanni Resta, May 30 2020
STATUS
approved