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EXAMPLE
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a(1) = 4 because H[4, 2, 2] = sqrt((sqrt(2) + 1)*(sqrt(2) - 1)) = 1.
a(40) = 100 because H[100, 89, 89] = sqrt(25*(5 + sqrt(89))*(-5 + sqrt(89))) = sqrt(1600) = 40.
In both cases there are also no lexicographically earlier Heron square root triple that take this value.
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The first few triples are:
[ 4, 2, 2] -> 1; [40, 29, 25] -> 13; [68, 58, 50] -> 25;
[ 5, 5, 4] -> 2; [35, 35, 28] -> 14; [65, 65, 52] -> 26;
[ 9, 8, 5] -> 3; [36, 34, 34] -> 15; [72, 65, 53] -> 27;
[10, 10, 8] -> 4; [40, 40, 32] -> 16; [65, 65, 64] -> 28;
[17, 13, 8] -> 5; [41, 40, 37] -> 17; [73, 68, 61] -> 29;
[15, 15, 12] -> 6; [45, 45, 36] -> 18; [72, 68, 68] -> 30;
[20, 17, 13] -> 7; [52, 50, 34] -> 19; [85, 68, 65] -> 31;
[20, 20, 16] -> 8; [50, 50, 40] -> 20; [80, 80, 64] -> 32;
[26, 20, 18] -> 9; [52, 49, 45] -> 21; [85, 73, 72] -> 33;
[25, 25, 20] -> 10; [55, 55, 44] -> 22; [82, 80, 74] -> 34;
[34, 26, 20] -> 11; [58, 52, 50] -> 23; [98, 82, 68] -> 35;
[30, 30, 24] -> 12; [60, 60, 48] -> 24; [89, 81, 80] -> 36;
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