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Number of (n+1) X (2+1) 0..2 arrays colored with the difference of the upper median and the lower median in each 2 X 2 subblock.
1

%I #6 Apr 11 2022 13:19:34

%S 384,2460,14980,93640,595416,3752292,23516900,147865936,931263424,

%T 5858644440,36838522624,231725728652,1457843396204,9170451870528,

%U 57683495403720,362853862347176,2282534552870060,14358082778611832

%N Number of (n+1) X (2+1) 0..2 arrays colored with the difference of the upper median and the lower median in each 2 X 2 subblock.

%C Column 2 of A236035.

%H R. H. Hardin, <a href="/A236029/b236029.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-2) +82*a(n-3) +490*a(n-4) +1217*a(n-5) +2163*a(n-6) +914*a(n-7) -9130*a(n-8) -22593*a(n-9) -22916*a(n-10) +10688*a(n-11) +64870*a(n-12) +38436*a(n-13) -42508*a(n-14) -30622*a(n-15) +4270*a(n-16) +9712*a(n-17) +528*a(n-18) -1536*a(n-19).

%e Some solutions for n=4

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

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

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

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

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

%Y Cf. A236035.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 18 2014