|
%I #4 Jan 16 2014 09:09:26
%S 100,688,688,4524,9600,4524,30624,121244,121244,30624,203804,1629216,
%T 2848572,1629216,203804,1370656,21301696,73075844,73075844,21301696,
%U 1370656,9159084,283036828,1811192156,3725170008,1811192156,283036828
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the upper median equal to the lower median in every 2X2 subblock
%C Table starts
%C ......100.........688...........4524.............30624...............203804
%C ......688........9600.........121244...........1629216.............21301696
%C .....4524......121244........2848572..........73075844...........1811192156
%C ....30624.....1629216.......73075844........3725170008.........181155460364
%C ...203804....21301696.....1811192156......181155460364.......17118907645314
%C ..1370656...283036828....45872598284.....9088092971636.....1681785844690652
%C ..9159084..3731137160..1149967012292...449721286329228...162539090628898856
%C .61448672.49409402632.29010506163148.22443371269251304.15873176185179453176
%H R. H. Hardin, <a href="/A235856/b235856.txt">Table of n, a(n) for n = 1..111</a>
%F Empirical for column k:
%F k=1: a(n) = 2*a(n-1) +37*a(n-2) -10*a(n-3) -200*a(n-4) +128*a(n-5)
%F k=2: [order 13]
%F k=3: [order 43]
%e Some solutions for n=2 k=4
%e ..0..2..1..1..2....0..0..3..0..0....0..2..0..3..3....0..0..0..1..0
%e ..1..1..1..0..1....1..0..0..0..0....2..2..3..3..3....0..0..1..1..3
%e ..3..1..3..1..2....0..0..0..0..2....2..3..3..3..2....0..1..1..2..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 16 2014
| 