A253693 - OEIS

%I #4 Jan 09 2015 08:45:18

%S 104,150,234,480,878,1472,2982,5282,9880,18552,34284,63796,119066,

%T 220728,411972,765790,1424918,2652268,4936064,9184756,17094616,

%U 31807790,59199066,110166458,205014144,381521314,710006568,1321296952,2458905244

%N Number of (n+1)X(3+1) 0..1 arrays with every 2X2 subblock ne-sw antidiagonal difference unequal to its neighbors horizontally and nw+se diagonal sum unequal to its neighbors vertically

%C Column 3 of A253698

%H R. H. Hardin, <a href="/A253693/b253693.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-2) +2*a(n-3) +4*a(n-4) +2*a(n-5) -6*a(n-6) -12*a(n-7) -6*a(n-8) +2*a(n-9) +5*a(n-10) +11*a(n-11) +5*a(n-12) -5*a(n-13) -a(n-14) -2*a(n-16) +a(n-17) -a(n-19) for n>21

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 09 2015