login
Number of (n+2)X(5+2) 0..1 arrays with every 2X2 and 3X3 subblock diagonal maximum minus antidiagonal minimum unequal to its neighbors horizontally and vertically
1

%I #4 Dec 30 2014 17:24:03

%S 1904,3136,13800,23936,76840,175328,438504,1151296,2656232,7032608,

%T 17090280,42368896,111988680,261552224,723071304,1661410368,

%U 4573702312,10671650720,28629961640,68211963648,179436757256,431899660512

%N Number of (n+2)X(5+2) 0..1 arrays with every 2X2 and 3X3 subblock diagonal maximum minus antidiagonal minimum unequal to its neighbors horizontally and vertically

%C Column 5 of A253367

%H R. H. Hardin, <a href="/A253364/b253364.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 12*a(n-2) -58*a(n-4) +152*a(n-6) -105*a(n-8) +248*a(n-10) -500*a(n-12) +236*a(n-14) -128*a(n-16) for n>19

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 30 2014