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%I #4 Feb 01 2014 08:01:05
%S 81,339,339,1426,3205,1426,6545,30644,30644,6545,30727,337861,588459,
%T 337861,30727,148966,3782769,13845208,13845208,3782769,148966,734805,
%U 43538228,316943905,715994489,316943905,43538228,734805,3679063
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median of every 2X2 subblock equal
%C Table starts
%C .......81..........339.............1426.................6545
%C ......339.........3205............30644...............337861
%C .....1426........30644...........588459.............13845208
%C .....6545.......337861.........13845208............715994489
%C ....30727......3782769........316943905..........35006442815
%C ...148966.....43538228.......7481102325........1767780514348
%C ...734805....504121651.....175715346236.......88420063405403
%C ..3679063...5869125835....4145228790666.....4442899040820873
%C .18601074..68447883704...97710106028444...222905331146478698
%C .94728601.799193185177.2304635974701835.11190912028368216391
%H R. H. Hardin, <a href="/A236902/b236902.txt">Table of n, a(n) for n = 1..264</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 13]
%F k=2: [order 22]
%F k=3: [order 41]
%F k=4: [order 86]
%e Some solutions for n=2 k=4
%e ..0..0..0..0..1....0..2..0..2..0....0..2..1..2..0....0..2..2..2..0
%e ..2..2..2..2..2....1..2..2..1..2....1..2..2..2..2....1..2..0..2..2
%e ..1..2..0..2..2....2..0..2..0..2....2..1..1..1..1....2..2..1..2..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 01 2014
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