A183648 - OEIS

%I #10 Apr 01 2018 14:15:19

%S 25405,50125,116653,307525,889525,2764525,9103453,31446805,113099845,

%T 421059325,1615331053,6363378085,25670138965,105816160525,

%U 444967075453,1906187885365,8309240278885,36817014596125,165639030032653

%N Number of (n+1) X 6 0..4 arrays with every 2 X 2 subblock summing to 8.

%C Column 5 of A183652.

%H R. H. Hardin, <a href="/A183648/b183648.txt">Table of n, a(n) for n = 1..84</a>

%F Empirical: a(n) = 15*a(n-1) - 85*a(n-2) + 225*a(n-3) - 274*a(n-4) + 120*a(n-5).

%F Empirical g.f.: x*(25405 - 330950*x + 1524203*x^2 - 2897770*x^3 + 1875000*x^4) / ((1 - x)*(1 - 2*x)*(1 - 3*x)*(1 - 4*x)*(1 - 5*x)). - _Colin Barker_, Apr 01 2018

%e Some solutions for 3 X 6:

%e   4 4 1 1 1 1    2 0 0 2 2 3    4 4 2 1 0 1    2 3 0 2 1 1

%e   0 0 3 3 3 3    2 4 4 2 2 1    0 0 2 3 4 3    1 2 3 3 2 4

%e   4 4 1 1 1 1    2 0 0 2 2 3    4 4 2 1 0 1    2 3 0 2 1 1

%Y Cf. A183652.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 06 2011