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 A178297 Number of collinear point 6-tuples in a 7 X 7 X 7 X... n-dimensional cubic grid 0

%I

%S 0,7,116,1459,16520,177727,1861436,19230379,197501840

%N Number of collinear point 6-tuples in a 7 X 7 X 7 X... n-dimensional cubic grid

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (27, -239, 693) conjectured.

%F Conjecture: a(n) = 11^n/2+5*9^n/2-3*7^n. a(n)= 27*a(n-1) -239*a(n-2) +693*a(n-3). G.f.: x*(-7+73*x)/((11*x-1)*(7*x-1)*(9*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 4 23:05 EST 2022. Contains 358572 sequences. (Running on oeis4.)