Sides of (Heronian) triangles where sides are consecutive integers and area is an integer.

Terms

a(0) =3a(1) =4a(2) =5a(3) =13a(4) =14a(5) =15a(6) =51a(7) =52a(8) =53a(9) =193a(10) =194a(11) =195a(12) =723a(13) =724a(14) =725a(15) =2701a(16) =2702a(17) =2703a(18) =10083a(19) =10084a(20) =10085a(21) =37633a(22) =37634a(23) =37635a(24) =140451a(25) =140452a(26) =140453a(27) =524173a(28) =524174a(29) =524175