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%I #18 Aug 06 2023 21:59:42
%S 0,10,152,1858,21680,253690,3023432,36785458,455700320,5725140970
%N Number of collinear point triples in a 5 X 5 X 5 X... n-dimensional cubic grid.
%F From _R. J. Mathar_ May 24 2010: (Start)
%F Conjecture: a(n) = 7^n - 5^(n+1)/2 + 13^n/2 + 9^n.
%F Conjecture: a(n) = 34*a(n-1) - 416*a(n-2) + 2174*a(n-3) - 4095*a(n-4).
%F Conjectured g.f.: 2*x*(5-94*x+425*x^2)/((9*x-1)*(13*x-1)*(7*x-1)*(5*x-1)).
%F (End)
%K nonn
%O 0,2
%A _R. H. Hardin_, suggested by _R. J. Mathar_ in the Sequence Fans Mailing List, May 24 2010
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