A237078 - OEIS

%I #4 Feb 03 2014 05:36:19

%S 484,4526,42300,395028,3675408,34334240,320714572,2993549732,

%T 27915633640,260587380516,2432846381316,22705793081876,

%U 211866942104136,1977464243096648,18457732328302972,172266108318326624

%N Number of (n+1)X(2+1) 0..2 arrays colored with the maximum plus the minimum minus the upper median minus the lower median of every 2X2 subblock

%C Column 2 of A237082

%H R. H. Hardin, <a href="/A237078/b237078.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-2) +200*a(n-3) +3494*a(n-4) +10363*a(n-5) +24691*a(n-6) +34689*a(n-7) -505130*a(n-8) -1188173*a(n-9) +1553345*a(n-10) +3053671*a(n-11) -3123651*a(n-12) -5222443*a(n-13) +618387*a(n-14) +19081478*a(n-15) +50000542*a(n-16) +154214784*a(n-17) +97630438*a(n-18) -137167730*a(n-19) +484064408*a(n-20) -223962514*a(n-21) -2119272884*a(n-22) +140443024*a(n-23) +730934940*a(n-24) -2147396648*a(n-25) -549613744*a(n-26) +1151284384*a(n-27) +1359699984*a(n-28) +1254555424*a(n-29) -443113344*a(n-30) -741621696*a(n-31) -65819904*a(n-32) +117950464*a(n-33) +33722368*a(n-34) +2539520*a(n-35)

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 03 2014