cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A178353 Number of collinear point 4-tuples in a 7 X 7 X 7 X ... n-dimensional cubic grid.

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%I A178353 #5 Jul 22 2025 08:15:57
%S A178353 0,35,660,9767,135240,1856075,25897500,371453327,5493496080,
%T A178353 83634563315
%N A178353 Number of collinear point 4-tuples in a 7 X 7 X 7 X ... n-dimensional cubic grid.
%F A178353 Conjecture: a(n) = 3*13^n/2+3*11^n+9^(n+1)/2-19*7^n/2+17^n/2 ; a(n) = +57*a(n-1) -1270*a(n-2) +13830*a(n-3) -73609*a(n-4) +153153*a(n-5). G.f: x*(-35+1335*x-16597*x^2+67329*x^3) / ( (11*x-1)*(13*x-1)*(17*x-1)*(9*x-1)*(7*x-1) ). [R. J. Mathar May 25 2010]
%K A178353 nonn
%O A178353 0,2
%A A178353 _R. H. Hardin_, suggested by R. J. Mathar in the Sequence Fans Mailing List, May 25 2010