|
%I #4 Nov 30 2014 12:01:49
%S 65,470,470,3374,8407,3374,24233,148833,148833,24233,173990,2644832,
%T 6441563,2644832,173990,1249276,46958048,280327551,280327551,46958048,
%U 1249276,8969854,833966807,12175291327,29975340928,12175291327,833966807
%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 greater than the absolute difference of its antidiagonal elements
%C Table starts
%C ......65.........470...........3374.............24233...............173990
%C .....470........8407.........148833...........2644832.............46958048
%C ....3374......148833........6441563.........280327551..........12175291327
%C ...24233.....2644832......280327551.......29975340928........3196108892595
%C ..173990....46958048....12175291327.....3196108892595......835576868190958
%C .1249276...833966807...529076339144...341101055365828...218733576114347625
%C .8969854.14810089440.22986742140730.36393433887011865.57234316992797718831
%H R. H. Hardin, <a href="/A251158/b251158.txt">Table of n, a(n) for n = 1..179</a>
%F Empirical for column k:
%F k=1: a(n) = 7*a(n-1) +4*a(n-2) -20*a(n-3) +3*a(n-4) +8*a(n-5) -4*a(n-6)
%F k=2: [order 16]
%F k=3: [order 37]
%e Some solutions for n=2 k=4
%e ..0..1..2..0..0....0..1..1..2..0....0..1..0..0..0....0..1..1..1..1
%e ..0..1..1..0..1....0..2..2..0..0....0..2..1..1..1....0..1..0..0..1
%e ..1..0..0..0..0....1..0..0..0..0....0..0..0..0..1....1..0..0..1..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Nov 30 2014
| 