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%I #4 Feb 01 2014 07:57:18
%S 1426,30644,588459,13845208,316943905,7481102325,175715346236,
%T 4145228790666,97710106028444,2304635974701835,54351411996290820,
%U 1281913433568215163,30234182342920477885,713088599383699252100
%N Number of (n+1)X(3+1) 0..2 arrays with the maximum plus the upper median of every 2X2 subblock equal
%C Column 3 of A236902
%H R. H. Hardin, <a href="/A236897/b236897.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 35*a(n-1) -37*a(n-2) -8470*a(n-3) +51669*a(n-4) +752531*a(n-5) -6643533*a(n-6) -29563267*a(n-7) +377278117*a(n-8) +427505875*a(n-9) -11678167646*a(n-10) +4773827839*a(n-11) +217837379851*a(n-12) -282681444189*a(n-13) -2596818605282*a(n-14) +5009157255824*a(n-15) +20432200880418*a(n-16) -51099593474742*a(n-17) -107033577018876*a(n-18) +341360901276124*a(n-19) +363358889251672*a(n-20) -1574199713306680*a(n-21) -699327394097872*a(n-22) +5139682394465456*a(n-23) +166791802046528*a(n-24) -11995114773171328*a(n-25) +3166009122595200*a(n-26) +19947659107319936*a(n-27) -9901594588077568*a(n-28) -23232765520112640*a(n-29) +16297202205798400*a(n-30) +18234086187745280*a(n-31) -16786759428603904*a(n-32) -8863411740344320*a(n-33) +11041228396691456*a(n-34) +2071562574364672*a(n-35) -4460447579242496*a(n-36) +121124486643712*a(n-37) +994785292713984*a(n-38) -167941811208192*a(n-39) -92255897518080*a(n-40) +24326694764544*a(n-41)
%e Some solutions for n=2
%e ..2..2..1..2....2..1..0..2....2..1..2..1....2..2..0..0....1..1..0..1
%e ..1..0..2..1....0..2..2..2....1..2..2..1....0..1..2..2....0..1..1..0
%e ..2..2..2..2....2..2..0..0....2..0..0..2....2..2..1..1....1..1..0..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 01 2014
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