Geodesic
The diophantine equation (X[X − 1])2 = 3Y[Y − 1]
Glasgow mathematical journal, Tome 17 (1976) no. 2, pp. 130-133

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The object of this paper is to prove that the only non-trivial solution in positive integers of the equation of the title is X = 3, Y = 4.Substituting x = 2X – 1, y = 2Y – 1 gives with a little manipulation 
Veluppillai, Manoranjitham. The diophantine equation (X[X − 1])2 = 3Y[Y − 1]. Glasgow mathematical journal, Tome 17 (1976) no. 2, pp. 130-133. doi: 10.1017/S0017089500002858
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     title = {The diophantine equation {(X[X} \ensuremath{-} 1])2 = {3Y[Y} \ensuremath{-} 1]},
     journal = {Glasgow mathematical journal},
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     year = {1976},
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