A253726 - OEIS

%I #5 Jan 10 2015 19:30:24

%S 518,6530,83884,1076964,13552198,172901292,2184376310,27787898426,

%T 351770175332,4468694386686,56626555767842,718835840302596,

%U 9113636912143270,115649322205892360,1466619710908899064

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

%C Column 2 of A253731

%H R. H. Hardin, <a href="/A253726/b253726.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 112*a(n-2) +500*a(n-3) +1749*a(n-4) -2404*a(n-5) -2485*a(n-6) -32086*a(n-7) -37905*a(n-8) +118470*a(n-9) +292997*a(n-10) +1294388*a(n-11) +548232*a(n-12) +1175220*a(n-13) -1625769*a(n-14) -3193684*a(n-15) +1879940*a(n-16) -18568634*a(n-17) -92745648*a(n-18) -264531330*a(n-19) -402229438*a(n-20) -407881862*a(n-21) -89778686*a(n-22) +162012970*a(n-23) +375344358*a(n-24) +164943714*a(n-25) +199780553*a(n-26) -327932748*a(n-27) -322702602*a(n-28) -492824270*a(n-29) +219050369*a(n-30) +277065842*a(n-31) +560894622*a(n-32) +205464382*a(n-33) +36455168*a(n-34) -214458562*a(n-35) -191150845*a(n-36) -107640448*a(n-37) -39881431*a(n-38) -3772082*a(n-39) -9578098*a(n-40) -85940*a(n-41) -4202064*a(n-42) +221568*a(n-43) -226944*a(n-44) for n>46

%e Some solutions for n=3

%e ..2..0..0....1..0..2....2..0..2....2..1..0....1..1..2....2..0..0....1..1..0

%e ..2..1..0....0..1..2....0..0..2....1..2..1....2..0..2....2..0..2....2..1..2

%e ..0..1..0....2..0..1....2..0..1....0..1..2....1..1..0....1..1..0....2..1..0

%e ..1..0..0....1..2..2....1..2..2....2..0..1....2..1..1....2..0..2....1..1..1

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 10 2015