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3-column rectangular array of near-right acute triangles.
1

%I #7 Feb 06 2023 09:37:31

%S 4,7,8,8,9,12,7,11,13,6,17,18,11,13,17,10,15,18,9,19,21,14,17,22,13,

%T 19,23,17,21,27,16,23,28,8,31,32,11,29,31,15,26,30,20,25,32,14,31,34,

%U 19,27,33,17,34,38,23,29,37,22,31,38,13,41,43,16,41,44,26,33,42,25,35,43,10

%N 3-column rectangular array of near-right acute triangles.

%F Row n is the n-th triple (a, b, c), in order of increasing perimeter a+b+c and increasing a, such that a < b < c and a^2 + b^2 - c^2 = 1.

%e First five triples:

%e 4,7,8 (a + b + c = 19; 16 + 49 - 64 = 1)

%e 8,9,12 (a + b + c = 29; 64 + 81 - 144 = 1)

%e 7,11,13 (a + b + c = 31)

%e 6,17,18 (a + b + c = 41)

%e 11,13,17 (a + b + c = 41)

%Y Cf. A108616.

%K nonn,tabf

%O 0,1

%A _Clark Kimberling_, Jun 12 2005