A238066 - OEIS

%I #4 Feb 17 2014 11:41:08

%S 1644,16116,157404,1499348,14168952,135441648,1301417096,12431472388,

%T 118450899788,1132038063428,10831946031928,103486462462004,

%U 988122548790540,9442336803062972,90254123138029500,862343664665398200

%N Number of (n+1)X(2+1) 0..3 arrays with the maximum minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

%C Column 2 of A238072

%H R. H. Hardin, <a href="/A238066/b238066.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 16*a(n-2) +245*a(n-3) +3175*a(n-4) +11026*a(n-5) +14790*a(n-6) +30547*a(n-7) +66976*a(n-8) -4677*a(n-9) -94176*a(n-10) -54207*a(n-11) -285131*a(n-12) -299281*a(n-13) +431751*a(n-14) +567877*a(n-15) -34526*a(n-16) -198712*a(n-17) -48032*a(n-18) +10752*a(n-19) +9216*a(n-20) for n>24

%e Some solutions for n=3

%e ..2..0..3....2..3..3....1..2..1....2..1..0....1..2..2....0..3..2....2..1..2

%e ..1..1..3....0..2..1....2..2..3....0..1..3....0..2..3....2..1..3....1..1..0

%e ..1..2..3....1..1..2....2..2..2....1..3..3....3..1..2....0..0..2....1..3..1

%e ..0..2..0....0..1..0....3..2..2....3..3..2....2..2..2....1..1..0....0..2..1

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 17 2014