  In this paper, we give a complete description of strongly regular graphs with
parameters ((n^2+3n-1)^2,n^2(n+3),1,n(n+1)). All possible such graphs are: the
lattice graph $L_{3,3}$ with parameters (9,4,1,2), the Brouwer-Haemers graph
with parameters (81,20,1,6), and the Games graph with parameters
(729,112,1,20).
