A200713 - OEIS

%I #5 Mar 31 2012 12:36:40

%S 8,36,36,154,540,154,638,7370,7370,638,2583,95567,317656,95567,2583,

%T 10283,1196837,12904303,12904303,1196837,10283,40437,14599041,

%U 501622631,1630978608,501622631,14599041,40437,157577,174544948,18836416881

%N T(n,k)=Number of nXk 0..7 arrays with every row and column running average nondecreasing rightwards and downwards

%C Table starts

%C .......8..........36............154..............638..............2583

%C ......36.........540...........7370............95567...........1196837

%C .....154........7370.........317656.........12904303.........501622631

%C .....638.......95567.......12904303.......1630978608......195675787426

%C ....2583.....1196837......501622631.....195675787426....71952946981858

%C ...10283....14599041....18836416881...22525604271509.25239894694049776

%C ...40437...174544948...688892422045.2512851095363929

%C ..157577..2054226643.24679562321720

%C ..609826.23879098633

%C .2347039

%H R. H. Hardin, <a href="/A200713/b200713.txt">Table of n, a(n) for n = 1..59</a>

%e Some solutions for n=3 k=3

%e ..0..0..3....0..0..3....0..4..2....0..0..2....0..0..4....0..2..6....0..0..3

%e ..0..2..3....1..4..3....2..6..5....0..4..7....2..3..6....0..6..6....2..2..6

%e ..5..6..7....1..5..4....1..7..6....0..5..5....1..7..5....0..7..7....1..5..6

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Nov 20 2011