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A178298
Number of collinear point triples in a 5 X 5 X 5 X... n-dimensional cubic grid.
1
0, 10, 152, 1858, 21680, 253690, 3023432, 36785458, 455700320, 5725140970
OFFSET
0,2
FORMULA
From R. J. Mathar May 24 2010: (Start)
Conjecture: a(n) = 7^n - 5^(n+1)/2 + 13^n/2 + 9^n.
Conjecture: a(n) = 34*a(n-1) - 416*a(n-2) + 2174*a(n-3) - 4095*a(n-4).
Conjectured g.f.: 2*x*(5-94*x+425*x^2)/((9*x-1)*(13*x-1)*(7*x-1)*(5*x-1)).
(End)
CROSSREFS
Sequence in context: A335800 A239620 A253124 * A251730 A222487 A307352
KEYWORD
nonn
AUTHOR
R. H. Hardin, suggested by R. J. Mathar in the Sequence Fans Mailing List, May 24 2010
STATUS
approved