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 A178294 Number of collinear point triples in a 4 X 4 X 4 X... n-dimensional cubic grid 1

%I

%S 0,4,44,376,2960,22624,171584,1303936,9969920,76793344

%N Number of collinear point triples in a 4 X 4 X 4 X... n-dimensional cubic grid

%H R. J. Mathar, <a href="/A178294/a178294.pdf">Points on a line in the finite d-dimensional simple cubic lattice</a>

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (18, -104, 192) conjectured.

%F Conjecture: a(n) = 8^n/2-3*4^n/2+6^n. a(n)= +18*a(n-1) -104*a(n-2) +192*a(n-3). G.f.: 4*x*(-1+7*x)/((6*x-1)*(8*x-1)*(4*x-1)). [_R. J. Mathar_, May 24 2010]

%Y Cf. A005059.

%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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Last modified October 23 16:46 EDT 2019. Contains 328373 sequences. (Running on oeis4.)