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.

A178351 Number of collinear point 5-tuples in a 7 X 7 X 7 X ... n-dimensional cubic grid.

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%I A178351 #7 Jul 22 2025 08:15:43
%S A178351 0,21,364,4833,58360,676941,7731364,88086873,1008580720,11652595461
%N A178351 Number of collinear point 5-tuples in a 7 X 7 X 7 X ... n-dimensional cubic grid.
%H A178351 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (40, -590, 3800, -9009) conjectured.
%F A178351 Conjecture: a(n) = 2*11^n+13^n/2+5*9^n-15*7^n/2 ; a(n) = +40*a(n-1) -590*a(n-2) +3800*a(n-3) -9009*a(n-4). G.f.: x*(21-476*x+2663*x^2) / ( (11*x-1)*(13*x-1)*(7*x-1)*(9*x-1) ). [R. J. Mathar May 25 2010]
%K A178351 nonn
%O A178351 0,2
%A A178351 _R. H. Hardin_, suggested by R. J. Mathar in the Sequence Fans Mailing List, May 25 2010