A235759 - OEIS

%I #4 Jan 15 2014 09:21:36

%S 48,216,977,3900,15197,55816,199720,691634,2344746,7785110,25435107,

%T 81902482,260560751,820159066,2558049098,7914489044,24315115380,

%U 74237856204,225414249637,681094975856,2048957867649,6139801922404

%N Number of (n+1)X(2+1) 0..1 arrays with the sum of each 2X2 subblock two median terms lexicographically nondecreasing columnwise and nonincreasing rowwise

%C Column 2 of A235765

%H R. H. Hardin, <a href="/A235759/b235759.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-1) -29*a(n-2) -20*a(n-3) +230*a(n-4) -196*a(n-5) -646*a(n-6) +984*a(n-7) +839*a(n-8) -1926*a(n-9) -429*a(n-10) +1916*a(n-11) -108*a(n-12) -960*a(n-13) +208*a(n-14) +192*a(n-15) -64*a(n-16)

%e Some solutions for n=4

%e ..1..0..1....1..0..1....1..0..1....1..1..1....0..1..1....1..0..1....1..1..1

%e ..1..0..1....0..0..0....0..1..1....1..1..1....1..0..1....1..0..1....0..1..0

%e ..0..0..0....0..0..0....0..1..0....1..0..1....0..1..1....1..0..1....0..1..0

%e ..0..0..1....0..0..0....0..0..1....0..1..0....1..0..1....0..0..0....0..1..0

%e ..0..0..0....0..0..1....0..0..0....0..0..1....1..0..0....0..0..0....1..0..1

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 15 2014