A208861 - OEIS

%I #5 Mar 31 2012 12:37:25

%S 51,23047,12883280,7240366702,4071491223248,2289701830963879,

%T 1287681340443915644,724166398812363542260,407256849342915985761092,

%U 229033195050822330468202369,128803738036903910358389563556

%N Number of nX5 0..3 arrays with new values 0..3 introduced in row major order and no element equal to more than one of its immediate leftward or upward or left-upward diagonal neighbors

%C Column 5 of A208864

%H R. H. Hardin, <a href="/A208861/b208861.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 831*a(n-1) -179993*a(n-2) +17822337*a(n-3) -914949819*a(n-4) +23168761555*a(n-5) -161356715633*a(n-6) -4487021565447*a(n-7) +88170625092243*a(n-8) -89146256087223*a(n-9) -9123849468343275*a(n-10) +57411954474413179*a(n-11) +280936943350232287*a(n-12) -3595338835588287543*a(n-13) +1929659835323795485*a(n-14) +90093226296032329771*a(n-15) -288134852946702870262*a(n-16) -742914836218346528932*a(n-17) +7115855576376274368216*a(n-18) -24955774603971431557536*a(n-19) +63937383750208880620992*a(n-20) -111375370598187857506560*a(n-21) +72057203548966403859456*a(n-22) +76274285418217337610240*a(n-23) -111975434876548575756288*a(n-24) +5300659781619687751680*a(n-25) +29374280040899283517440*a(n-26) -7836898836947747733504*a(n-27) for n>28

%e Some solutions for n=4

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

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

%e ..2..3..0..1..2....2..2..3..2..3....1..0..2..3..2....3..2..3..1..2

%e ..0..0..1..3..0....3..1..1..2..1....3..2..3..1..1....2..0..1..0..0

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 02 2012