A236501 - OEIS

%I #5 Jan 27 2014 05:01:47

%S 256,2632,27458,284408,2954930,30642966,318132117,3300684904,

%T 34257479784,355481488428,3689189768448,38283796526416,

%U 397297768359304,4122943466702820,42786260152594116,444015373043625472

%N Number of (n+1)X(1+1) 0..3 arrays colored with the maximum plus the minimum minus the lower median of every 2X2 subblock

%C Column 1 of A236505

%H R. H. Hardin, <a href="/A236501/b236501.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 308*a(n-3) +4012*a(n-4) +21992*a(n-5) +160712*a(n-6) +584652*a(n-7) +2312740*a(n-8) +6348544*a(n-9) +5341120*a(n-10) +3533664*a(n-11) -174342864*a(n-12) -458662976*a(n-13) -1214806208*a(n-14) -2349785088*a(n-15) +3981769152*a(n-16) +10164177792*a(n-17) +47276054208*a(n-18) +85298810880*a(n-19) -33867762176*a(n-20) -93314875904*a(n-21) -795814825216*a(n-22) -1288724156416*a(n-23) +207101892608*a(n-24) +543866948608*a(n-25) +6245665710080*a(n-26) +9033804898304*a(n-27) -3139783680000*a(n-28) -4668497395712*a(n-29) -17866459840512*a(n-30) -22658241527808*a(n-31) +17119004590080*a(n-32) +17563014660096*a(n-33) -3022314799104*a(n-34)

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 27 2014