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%I #5 Mar 31 2012 12:35:56
%S 86,216,216,684,260,684,1714,1146,1146,1714,4434,2848,9483,2848,4434,
%T 10610,9945,40401,40401,9945,10610,24754,28434,235003,368326,235003,
%U 28434,24754,55451,87119,1025854,4086234,4086234,1025854,87119,55451
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with rows and columns in nondecreasing order and with no 2X2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one
%C Table starts
%C .....86.....216.......684.......1714........4434.......10610.......24754
%C ....216.....260......1146.......2848........9945.......28434.......87119
%C ....684....1146......9483......40401......235003.....1025854.....4969133
%C ...1714....2848.....40401.....368326.....4086234....35402227...305194632
%C ...4434....9945....235003....4086234....91203410..1530840869.25951449861
%C ..10610...28434...1025854...35402227..1530840869.55632308352
%C ..24754...87119...4969133..305194632.25951449861
%C ..55451..254174..22190358.2367377082
%C .120398..732978.100488243
%C .253258.2062353
%H R. H. Hardin, <a href="/A184095/b184095.txt">Table of n, a(n) for n = 1..71</a>
%e Some solutions for 3X3
%e ..1..2..2....1..1..2....1..1..1....0..2..2....1..2..2....1..2..2....2..2..2
%e ..2..1..1....1..3..0....1..1..2....1..0..0....3..0..2....2..2..2....2..3..3
%e ..3..0..3....2..0..2....1..2..0....1..2..2....3..1..3....2..2..3....3..1..3
%e ...
%e ...6..6.......6..6.......4..5.......3..4.......6..6.......7..8.......9..10...
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Jan 09 2011