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A201235 T(n,k)=Number of nXk 0..3 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.

%I A201235 #7 Jul 22 2025 16:10:36
%S A201235 4,6,6,7,2,7,3,34,34,3,17,24,114,24,17,40,306,140,140,306,40,46,152,
%T A201235 2462,1028,2462,152,46,21,2697,18056,7791,7791,18056,2697,21,135,1709,
%U A201235 62133,66027,420662,66027,62133,1709,135,342,26353,82861,508368,8499558
%N A201235 T(n,k)=Number of nXk 0..3 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.
%C A201235 Table starts
%C A201235 ...4.....6........7.........3...........17............40............46
%C A201235 ...6.....2.......34........24..........306...........152..........2697
%C A201235 ...7....34......114.......140.........2462.........18056.........62133
%C A201235 ...3....24......140......1028.........7791.........66027........508368
%C A201235 ..17...306.....2462......7791.......420662.......8499558......77620598
%C A201235 ..40...152....18056.....66027......8499558......33222962....4442977704
%C A201235 ..46..2697....62133....508368.....77620598....4442977704..112920979339
%C A201235 ..21..1709....82861...4293464....263388703...17052604235.1076710643794
%C A201235 .135.26353..1593643..33177954..14079281158.2254057282528
%C A201235 .342.14274.11978376.282310785.283246971698
%H A201235 R. H. Hardin, <a href="/A201235/b201235.txt">Table of n, a(n) for n = 1..111</a>
%e A201235 Some solutions for n=3 k=7
%e A201235 ..0..0..0..1..2..1..3....0..0..0..1..2..1..3....0..0..0..0..0..1..1
%e A201235 ..0..0..1..1..2..2..3....0..1..1..1..2..2..3....0..2..1..3..3..3..2
%e A201235 ..0..1..2..3..2..3..3....0..3..3..2..2..3..3....1..1..2..3..2..3..2
%Y A201235 Column 1 is A200939
%K A201235 nonn,tabl
%O A201235 1,1
%A A201235 _R. H. Hardin_ Nov 28 2011