A237956 - OEIS

%I #4 Feb 16 2014 06:20:00

%S 256,1280,1280,6400,7552,6400,34560,45504,45504,34560,186624,300576,

%T 336260,300576,186624,1022976,1989792,2763512,2763512,1989792,1022976,

%U 5607424,13448144,22791116,28736144,22791116,13448144,5607424,30916608

%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the upper median plus the lower median plus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

%C Table starts

%C .......256.......1280........6400.......34560......186624.....1022976

%C ......1280.......7552.......45504......300576.....1989792....13448144

%C ......6400......45504......336260.....2763512....22791116...192579544

%C .....34560.....300576.....2763512....28736144...300240232..3226849976

%C ....186624....1989792....22791116...300240232..3981595988.54495006024

%C ...1022976...13448144...192579544..3226849976.54495006024

%C ...5607424...90873216..1628588344.34742206136

%C ..30916608..619311968.13907568992

%C .170459136.4216944960

%C .939196416

%H R. H. Hardin, <a href="/A237956/b237956.txt">Table of n, a(n) for n = 1..59</a>

%F Empirical for column k:

%F k=1: a(n) = 976*a(n-4) -46848*a(n-8) +110592*a(n-12)

%F k=2: [order 44] for n>46

%e Some solutions for n=2 k=4

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Feb 16 2014