A235756 - OEIS

%I #4 Jan 15 2014 09:05:45

%S 81,498,498,2996,6578,2996,15782,88732,88732,15782,80584,996868,

%T 2721271,996868,80584,388008,10878790,68186440,68186440,10878790,

%U 388008,1819537,107853469,1669079300,3951955004,1669079300,107853469,1819537,8271237

%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the sum of each 2X2 subblock two median terms lexicographically nondecreasing columnwise and nonincreasing rowwise

%C Table starts

%C ........81.........498...........2996...........15782............80584

%C .......498........6578..........88732..........996868.........10878790

%C ......2996.......88732........2721271........68186440.......1669079300

%C .....15782......996868.......68186440......3951955004.....229794497298

%C .....80584....10878790.....1669079300....229794497298...32851676943413

%C ....388008...107853469....36221011849..11883494266538.4249799416665556

%C ...1819537..1029949275...753688651636.593235221174732

%C ...8271237..9302743070.14525190680041

%C ..36871545.81316688449

%C .161304512

%H R. H. Hardin, <a href="/A235756/b235756.txt">Table of n, a(n) for n = 1..59</a>

%e Some solutions for n=2 k=4

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

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

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

%Y Column 1 is A235527

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jan 15 2014