A068965 Sides of integer Heronian triangles [prime(A068964(n)), prime(A068964(n)+1), a(n)] with area A068966(n).
4, 20, 170, 452, 890, 2180, 4052, 5210, 6500, 10100, 27380, 43220, 84068, 95930, 118100, 130052, 183620, 198458, 246410, 281252, 357860, 399620, 410420, 455060, 581060, 656660, 900500, 1022468, 1134020, 1188890, 1232468, 1401140, 1462058, 1545290, 1609220, 1630820
Offset: 1
Keywords
Examples
A068964(3) = 24: [A000040(24), A000040(25), a(3)] = [89,97,170], with s = (89+97+170)/2 = 178: Area^2 = s*(s-89)*(s-81)*(s-170) = 178*89*81*8 = 10265616 = 3204*3204, therefore A068966(3) = 3204.
Links
- Giovanni Resta, Table of n, a(n) for n = 1..385
- Eric Weisstein's World of Mathematics, Heronian Triangle.
Extensions
Terms a(13) and beyond from Giovanni Resta, Apr 20 2020