cp's OEIS Frontend

A200713 T(n,k)=Number of nXk 0..7 arrays with every row and column running average nondecreasing rightwards and downwards.

%I A200713 #7 Jul 22 2025 15:54:15
%S A200713 8,36,36,154,540,154,638,7370,7370,638,2583,95567,317656,95567,2583,
%T A200713 10283,1196837,12904303,12904303,1196837,10283,40437,14599041,
%U A200713 501622631,1630978608,501622631,14599041,40437,157577,174544948,18836416881
%N A200713 T(n,k)=Number of nXk 0..7 arrays with every row and column running average nondecreasing rightwards and downwards.
%C A200713 Table starts
%C A200713 .......8..........36............154..............638..............2583
%C A200713 ......36.........540...........7370............95567...........1196837
%C A200713 .....154........7370.........317656.........12904303.........501622631
%C A200713 .....638.......95567.......12904303.......1630978608......195675787426
%C A200713 ....2583.....1196837......501622631.....195675787426....71952946981858
%C A200713 ...10283....14599041....18836416881...22525604271509.25239894694049776
%C A200713 ...40437...174544948...688892422045.2512851095363929
%C A200713 ..157577..2054226643.24679562321720
%C A200713 ..609826.23879098633
%C A200713 .2347039
%H A200713 R. H. Hardin, <a href="/A200713/b200713.txt">Table of n, a(n) for n = 1..59</a>
%e A200713 Some solutions for n=3 k=3
%e A200713 ..0..0..3....0..0..3....0..4..2....0..0..2....0..0..4....0..2..6....0..0..3
%e A200713 ..0..2..3....1..4..3....2..6..5....0..4..7....2..3..6....0..6..6....2..2..6
%e A200713 ..5..6..7....1..5..4....1..7..6....0..5..5....1..7..5....0..7..7....1..5..6
%K A200713 nonn,tabl
%O A200713 1,1
%A A200713 _R. H. Hardin_ Nov 20 2011