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%I #11 Aug 07 2023 09:12:05
%S 0,15,234,2820,31176,333840,3546144,37807680,406924416,4432154880
%N Number of collinear point 4-tuples in a 6 X 6 X 6 X... n-dimensional cubic grid
%F Conjecture: a(n) = 3*8^n+3*10^n/2-5*6^n+12^n/2. a(n)= 36*a(n-1) -476*a(n-2) +2736*a(n-3) -5760*a(n-4). G.f.: 3*x*(5-102*x+512*x^2)/((12*x-1)*(6*x-1)*(8*x-1)*(10*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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