|
%I #4 Feb 08 2014 06:13:35
%S 81,356,356,1566,2308,1566,6954,14968,14968,6954,30913,99086,143780,
%T 99086,30913,136488,651906,1417638,1417638,651906,136488,603184,
%U 4259914,13827553,21134116,13827553,4259914,603184,2671904,27861088,133796732
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the lower median minus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
%C Table starts
%C .......81........356..........1566............6954.............30913
%C ......356.......2308.........14968...........99086............651906
%C .....1566......14968........143780.........1417638..........13827553
%C .....6954......99086.......1417638........21134116.........309663940
%C ....30913.....651906......13827553.......309663940........6781496755
%C ...136488....4259914.....133796732......4493037466......146338935672
%C ...603184...27861088....1299276552.....65361132006.....3172303208646
%C ..2671904..183385520...12704622556....963521033936....70036020900600
%C .11847888.1204325662..123775917000..14101784196522..1531559920766744
%C .52383008.7888272520.1201726394292.205512527589358.33246113906104588
%H R. H. Hardin, <a href="/A237472/b237472.txt">Table of n, a(n) for n = 1..161</a>
%F Empirical for column k:
%F k=1: a(n) = 288*a(n-4) +1840*a(n-6) +784*a(n-8)
%F k=2: [order 14]
%F k=3: [order 56]
%e Some solutions for n=3 k=4
%e ..0..0..0..1..1....0..0..0..0..1....0..0..0..1..2....0..0..0..1..0
%e ..1..0..2..2..0....1..1..2..0..0....0..2..1..0..0....0..2..1..2..2
%e ..2..1..2..2..1....0..1..1..2..2....2..1..1..1..1....1..0..1..2..0
%e ..0..0..1..1..1....0..1..1..1..0....2..2..2..1..1....1..2..2..2..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 08 2014
| 