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A201836 T(n,k)=Number of nXk 0..3 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally.

%I A201836 #7 Jul 22 2025 16:22:37
%S A201836 4,10,10,23,50,23,51,212,212,51,110,823,1629,823,110,233,3030,11180,
%T A201836 11180,3030,233,488,10777,71501,135236,71501,10777,488,1013,37530,
%U A201836 434721,1513357,1513357,434721,37530,1013,2088,128742,2553223,15948080,29732625
%N A201836 T(n,k)=Number of nXk 0..3 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally.
%C A201836 Table starts
%C A201836 ....4......10........23...........51............110.............233
%C A201836 ...10......50.......212..........823...........3030...........10777
%C A201836 ...23.....212......1629........11180..........71501..........434721
%C A201836 ...51.....823.....11180.......135236........1513357........15948080
%C A201836 ..110....3030.....71501......1513357.......29732625.......550056273
%C A201836 ..233...10777....434721.....15948080......550056273.....17998651651
%C A201836 ..488...37530...2553223....160648302.....9704449810....561578131760
%C A201836 .1013..128742..14601638...1559706843...164528513926..16796197116664
%C A201836 .2088..437110..81799885..14692678301..2699295015987.485048305371706
%C A201836 .4278.1472736.450682446.134927163853.43085122777927
%H A201836 R. H. Hardin, <a href="/A201836/b201836.txt">Table of n, a(n) for n = 1..111</a>
%e A201836 Some solutions for n=2 k=7
%e A201836 ..0..1..1..1..1..2..3....0..0..1..3..2..2..3....0..0..0..2..2..1..3
%e A201836 ..0..1..3..2..2..3..3....1..1..2..3..3..3..3....0..2..1..3..3..3..3
%Y A201836 Column 1 is A200759
%K A201836 nonn,tabl
%O A201836 1,1
%A A201836 _R. H. Hardin_ Dec 05 2011