A233595 - OEIS

%I #4 Dec 14 2013 06:10:06

%S 15272,342185,7610545,169129037,3756984641,83451469774,1853608731449,

%T 41171843204299,914496266769293,20312503043503618,451174881822359137,

%U 10021353348112998329,222591120354824691196,4944123321916955713069

%N Number of (n+2)X(1+2) 0..2 arrays with no increasing sequence of length 3 horizontally, vertically or antidiagonally downwards

%C Column 1 of A233602

%H R. H. Hardin, <a href="/A233595/b233595.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 25*a(n-1) +2*a(n-2) -1549*a(n-3) +1359*a(n-4) +35322*a(n-5) -27013*a(n-6) -345233*a(n-7) +159641*a(n-8) +1285880*a(n-9) -375833*a(n-10) -2431870*a(n-11) +439479*a(n-12) +2628508*a(n-13) -276145*a(n-14) -1679602*a(n-15) +92032*a(n-16) +613439*a(n-17) -14601*a(n-18) -111609*a(n-19) +738*a(n-20) +6490*a(n-21) +22*a(n-22) -121*a(n-23)

%e Some solutions for n=1

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 14 2013