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A178295 Number of collinear point 4-tuples in a 5 X 5 X 5 X... n-dimensional cubic grid 0

%I

%S 0,5,64,629,5632,48485,410944,3470549,29389312,250334405

%N Number of collinear point 4-tuples in a 5 X 5 X 5 X... n-dimensional cubic grid

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (21, -143, 315) conjectured.

%F Conjecture: a(n) = 9^n/2+3*7^n/2-2*5^n. a(n)= +21*a(n-1) -143*a(n-2) +315*a(n-3). G.f.: x*(-5+41*x)/((9*x-1)*(7*x-1)*(5*x-1)). [_R. J. Mathar_, May 24 2010]

%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 December 13 06:15 EST 2018. Contains 318082 sequences. (Running on oeis4.)