%I #8 Jun 05 2018 11:37:32
%S 107653,7501753,543848893,39572771665,2880436707253,209668438383145,
%T 15261911634884845,1110925438997643073,80865057189988449637,
%U 5886225355184724720793,428462554060882790003485
%N Number of (n+1) X 4 0..6 arrays with every 2 X 2 subblock having equal diagonal elements or equal antidiagonal elements.
%C Column 3 of A203887.
%H R. H. Hardin, <a href="/A203882/b203882.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 79*a(n-1) -450*a(n-2) -144*a(n-3).
%F Empirical g.f.: 49*x*(2197 - 20466*x - 7056*x^2) / (1 - 79*x + 450*x^2 + 144*x^3). - _Colin Barker_, Jun 05 2018
%e Some solutions for n=4:
%e ..2..1..1..2....1..0..1..4....0..3..1..5....4..3..2..6....1..2..6..6
%e ..0..2..1..1....0..1..3..1....5..0..3..1....5..4..3..2....1..1..2..6
%e ..0..0..2..1....1..4..1..6....3..5..0..3....6..5..4..3....1..5..1..2
%e ..5..0..0..2....0..1..0..1....5..5..5..0....1..6..5..4....0..1..1..1
%e ..4..5..0..0....1..3..1..6....2..5..4..5....4..1..6..5....0..0..1..3
%Y Cf. A203887.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 07 2012
|