A178296 - OEIS

%I #13 Aug 06 2023 21:56:07

%S 0,6,88,984,9952,96096,907648,8494464,79355392,743241216

%N Number of collinear point 5-tuples in a 6 X 6 X 6 X... n-dimensional cubic grid

%F Conjecture: a(n) = 10^n/2+2*8^n-5*6^n/2. a(n)= 24*a(n-1) -188*a(n-2) +480*a(n-3). G.f.: 2*x*(-3+28*x)/((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