A236113 - OEIS

%I #5 Jan 19 2014 08:06:33

%S 256,2248,20000,175096,1538144,13525664,118990080,1045666976,

%T 9189157840,80777516672,710143327296,6242142152960,54866901910784,

%U 482290009045120,4239509147919360,37265899068310016,327571084007019264

%N Number of (n+1)X(1+1) 0..3 arrays colored with the difference of the maximum and the upper median in each 2X2 subblock

%C Column 1 of A236118

%H R. H. Hardin, <a href="/A236113/b236113.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 136*a(n-3) +2752*a(n-4) +8440*a(n-5) +61552*a(n-6) +157376*a(n-7) +161456*a(n-8) +545568*a(n-9) -1267328*a(n-10) -1455616*a(n-11) -2677184*a(n-12) -2909056*a(n-13) +2609152*a(n-14) +12288*a(n-15) -208896*a(n-16) +1271808*a(n-17) -405504*a(n-18) for n>19

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 19 2014