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A298079 The number of triangles (up to congruence) with integer coordinates and perimeter in [n, n+1).

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%I A298079 #25 Jan 02 2024 12:45:12
%S A298079 1,2,2,6,7,11,15,26,24,42,41,66,60,83,99,126,127,176,179,219,217,302,
%T A298079 283,374,366,456,446,551,573,640,667,808,805,938,936,1123,1078,1286,
%U A298079 1276,1464,1487,1699,1710,1909,1912,2193,2161,2447,2489,2806,2749,3064,3111
%N A298079 The number of triangles (up to congruence) with integer coordinates and perimeter in [n, n+1).
%H A298079 Peter Kagey, <a href="/A298079/b298079.txt">Table of n, a(n) for n = 3..149</a>
%H A298079 Peter Kagey, <a href="https://codegolf.stackexchange.com/q/153106/53884">Integer Triangles with perimeter less than n</a>, Programming Puzzles & Code Golf Stack Exchange.
%H A298079 Peter Kagey, <a href="/A298079/a298079.hs.txt">Haskell program for A298079</a>.
%e A298079 For n = 3, all triangles with perimeter in [3, 4) are congruent to:
%e A298079 (0, 0), (0, 1), (1, 0) with perimeter 3.41....
%e A298079 For n = 4, all triangles with perimeter in [4, 5) are congruent to:
%e A298079 (0, 0), (0, 1), (1, 2) with perimeter 4.65..., or
%e A298079 (0, 0), (0, 2), (2, 0) with perimeter 4.82....
%e A298079 For n = 5, all triangles with perimeter in [5, 6) are congruent to:
%e A298079 (0, 0), (0, 2), (1, 2) with perimeter 5.23..., or
%e A298079 (0, 0), (1, 2), (2, 1) with perimeter 5.88....
%Y A298079 Cf. A051518, A298121.
%K A298079 nonn
%O A298079 3,2
%A A298079 _Peter Kagey_, Jan 11 2018