OFFSET
1,1
COMMENTS
Corresponding values of c are 5, 17, 15, 37, 29, 65, 101, 109, 145.
And corresponding values of area/6 are 1, 6, 14, 19, 35, 44, 85, 330, 146, 231, 1190.
The sequence includes all terms of A016064 (where c = m+2) except for the first term, 1 (case with zero area).
Note that in all cases c is odd and m+2 <= c < 2m+1.
EXAMPLE
First triangle has sides (3,4,5) and area 6.
2nd triangle has sides (9,10,17) and area 36.
3rd triangle has sides (13,14,15) and area 84.
MATHEMATICA
re=Reap[Do[a=m; b=m+1; Do[s=(a+b+c)/2; area=Sqrt[s(s-a)(s-b)(s-c)]; If[IntegerQ[area], Sow[{a, b, c, area}]; Break[]], {c, 2m-1, m+2, -2 }], {m, 3, 2000}]][[2, 1]]; #[[1]]&/@ re
CROSSREFS
KEYWORD
nonn
AUTHOR
Zak Seidov, Apr 03 2014
STATUS
approved