A268054 - OEIS

%I #7 Jan 11 2019 09:03:41

%S 1,32,2094,200818,22501266,2666449962,322124540754,39169337042938,

%T 4773343640706306,582130110629340842,71010944836457411314,

%U 8662969218697854336858,1056867236907904064782946

%N Number of n X 6 0..2 arrays with new values introduced in each row and column in sequential order starting with zero.

%H R. H. Hardin, <a href="/A268054/b268054.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 184*a(n-1) - 8533*a(n-2) + 122786*a(n-3) - 563036*a(n-4) + 700280*a(n-5).

%F Empirical g.f.: x*(1 - 152*x + 4739*x^2 - 34208*x^3 + 52740*x^4) / ((1 - 2*x)*(1 - 5*x)*(1 - 14*x)*(1 - 41*x)*(1 - 122*x)). - _Colin Barker_, Jan 11 2019

%e Some solutions for n=3:

%e ..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0

%e ..0..1..0..1..0..0....0..1..1..1..1..1....0..1..0..1..0..0....0..1..0..0..0..1

%e ..0..0..1..2..1..1....0..0..1..2..2..1....0..0..0..0..0..1....0..1..1..1..0..2

%Y Column 6 of A268056.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 25 2016