A236065 - OEIS

%I #4 Jan 18 2014 20:24:16

%S 81,360,360,1616,1784,1616,7016,8506,8506,7016,31616,41344,45987,

%T 41344,31616,138988,200906,221292,221292,200906,138988,620552,983796,

%U 1178874,1189428,1178874,983796,620552,2734804,4815318,6003004,6693198,6693198

%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the difference of the upper median and the minimum in each 2X2 subblock

%C Table starts

%C .......81.......360.......1616........7016........31616........138988

%C ......360......1784.......8506.......41344.......200906........983796

%C .....1616......8506......45987......221292......1178874.......6003004

%C .....7016.....41344.....221292.....1189428......6693198......39556394

%C ....31616....200906....1178874.....6693198.....44476077.....300043524

%C ...138988....983796....6003004....39556394....300043524....2530095488

%C ...620552...4815318...32549159...224877256...2014550540...19156234610

%C ..2734804..23498914..160724066..1256067308..12237425826..140432536108

%C .12176064.114724352..869348096..7205418850..84261108266.1120211727420

%C .53818764.560870566.4373843360.41590160892.550970559570.9029381500148

%H R. H. Hardin, <a href="/A236065/b236065.txt">Table of n, a(n) for n = 1..180</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 14]

%F k=2: [order 32] for n>35

%F k=3: [order 94] for n>101

%e Some solutions for n=3 k=4

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jan 18 2014