A236446 - OEIS

%I #4 Jan 26 2014 05:01:17

%S 2116,25172,280436,3081484,33804644,372302304,4107125100,45253160716,

%T 498239745892,5488056222380,60469751923916,666180122487480,

%U 7338126927909528,80835303876178368,890516979877141528

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

%C Column 2 of A236451

%H R. H. Hardin, <a href="/A236446/b236446.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 36*a(n-2) +356*a(n-3) +4344*a(n-4) +20686*a(n-5) +29714*a(n-6) -31380*a(n-7) -97187*a(n-8) -8638*a(n-9) -75077*a(n-10) -613287*a(n-11) -385421*a(n-12) +493270*a(n-13) +214944*a(n-14) +4921728*a(n-15) +12218501*a(n-16) +5327294*a(n-17) -8969592*a(n-18) -18816047*a(n-19) -32373495*a(n-20) -51099082*a(n-21) -9749467*a(n-22) +62349330*a(n-23) +27150861*a(n-24) +15857513*a(n-25) +34953995*a(n-26) -21410588*a(n-27) -9398131*a(n-28) +10813876*a(n-29) -1372244*a(n-30) -440320*a(n-31) +788640*a(n-32) -207360*a(n-33) +8704*a(n-34) for n>37

%e Some solutions for n=2

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 26 2014