A255797 - OEIS

%I #8 Dec 20 2018 08:48:52

%S 409,262,198,200,268,263,384,336,326,344,476,471,708,608,598,632,892,

%T 887,1356,1152,1142,1208,1724,1719,2652,2240,2230,2360,3388,3383,5244,

%U 4416,4406,4664,6716,6711,10428,8768,8758,9272,13372,13367,20796,17472,17462

%N Number of (n+2) X (4+2) 0..1 arrays with no 3 x 3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 3.

%H R. H. Hardin, <a href="/A255797/b255797.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-6) - 2*a(n-12) for n>15.

%F Empirical g.f.: x*(409 + 262*x + 198*x^2 + 200*x^3 + 268*x^4 + 263*x^5 - 843*x^6 - 450*x^7 - 268*x^8 - 256*x^9 - 328*x^10 - 318*x^11 + 374*x^12 + 124*x^13 + 16*x^14) / ((1 - x)*(1 + x)*(1 - x + x^2)*(1 + x + x^2)*(1 - 2*x^6)). - _Colin Barker_, Dec 20 2018

%e Some solutions for n=4:

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

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

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

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

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

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

%Y Column 4 of A255801.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 06 2015