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Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one
1

%I #4 Feb 08 2014 05:53:36

%S 308,1376,5938,25974,113324,496942,2183186,9577336,41971324,184102474,

%T 807827730,3543250384,15538743130,68158488618,298985438448,

%U 1311406306956,5751938471714,25229703215602,110665842504412,485405880082358

%N Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

%C Column 2 of A237463

%H R. H. Hardin, <a href="/A237457/b237457.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 34*a(n-3) +172*a(n-4) +254*a(n-5) +282*a(n-6) -973*a(n-7) -4066*a(n-8) -3238*a(n-9) +3634*a(n-10) +13908*a(n-11) +5602*a(n-12) -22988*a(n-13) -3264*a(n-14) +22488*a(n-15) -7392*a(n-16) -13696*a(n-17) +4608*a(n-18) +4096*a(n-19)

%e Some solutions for n=5

%e ..1..1..2....1..2..1....1..1..2....2..1..1....1..2..2....1..2..1....1..1..1

%e ..0..0..0....0..2..2....1..0..2....1..0..1....0..2..1....0..0..2....2..1..1

%e ..2..1..1....0..1..1....2..2..2....0..2..2....0..1..1....1..1..0....0..0..0

%e ..1..1..0....1..0..1....2..1..1....1..2..1....0..1..1....0..1..2....1..0..2

%e ..0..1..2....2..0..1....1..1..0....0..0..2....1..1..2....2..2..2....0..2..1

%e ..2..2..2....1..1..1....0..1..2....1..0..2....0..2..2....2..1..0....1..2..2

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 08 2014

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