|
%I #4 Dec 02 2014 18:22:24
%S 45,230,230,1223,2429,1223,6505,26633,26633,6505,34674,295339,618813,
%T 295339,34674,184818,3275490,14434472,14434472,3275490,184818,985223,
%U 36343085,337561156,711649307,337561156,36343085,985223,5251978
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having the minimum of its diagonal elements less than the absolute difference of its antidiagonal elements
%C Table starts
%C .......45.........230............1223...............6505.................34674
%C ......230........2429...........26633.............295339...............3275490
%C .....1223.......26633..........618813...........14434472.............337561156
%C .....6505......295339........14434472..........711649307...........35114707166
%C ....34674.....3275490.......337561156........35114707166.........3659979005933
%C ...184818....36343085......7891330499......1733325153538.......381496462120620
%C ...985223...403222305....184506926190.....85556587695052.....39771181944389404
%C ..5251978..4473823718...4313788353029...4223166671228639...4146091857809619765
%C .27997157.49637592540.100857947002791.208458935686468001.432229535093071132448
%H R. H. Hardin, <a href="/A251451/b251451.txt">Table of n, a(n) for n = 1..219</a>
%F Empirical for column k:
%F k=1: a(n) = 5*a(n-1) +4*a(n-2) -11*a(n-3) -6*a(n-4) +5*a(n-5) +4*a(n-6)
%F k=2: [order 18]
%F k=3: [order 36] for n>37
%F k=4: [order 88] for n>90
%e Some solutions for n=2 k=4
%e ..1..0..1..1..2....1..0..2..2..2....1..1..1..0..2....0..0..2..0..2
%e ..0..1..2..2..1....0..2..2..1..1....1..1..0..2..1....0..2..0..2..1
%e ..1..2..1..1..0....2..1..1..2..1....0..1..2..2..1....2..1..2..1..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 02 2014
| 