A253733 - OEIS

%I #4 Jan 11 2015 08:04:03

%S 218,720,2212,6932,22236,70372,222820,706884,2242532,7110804,22555544,

%T 71517456,226861460,719514384,2281956628,7237186788,22954908172,

%U 72802487404,230901873532,732329249252,2322695885712,7366657349992

%N Number of (n+2)X(1+2) 0..1 arrays with every 2X2 and 3X3 subblock diagonal sum minus antidiagonal sum unequal to its neighbors horizontally and vertically

%C Column 1 of A253740

%H R. H. Hardin, <a href="/A253733/b253733.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-2) +15*a(n-3) +44*a(n-4) +26*a(n-5) +36*a(n-6) -241*a(n-7) -190*a(n-8) -589*a(n-9) -530*a(n-10) -920*a(n-11) -1248*a(n-12) -800*a(n-13) -384*a(n-14) for n>15

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 11 2015