A214233 - OEIS

%I #4 Jul 08 2012 07:41:47

%S 4,354,175884,188834753,253155125338,356734116034266,

%T 508116551730888266,725424852023224352701,1036196988923824970841964,

%U 1480269108515044158376950586,2114704441343238968833690030736

%N Number of 0..7 colorings of an nX4 array circular in the 4 direction with new values 0..7 introduced in row major order

%C Column 3 of A214238

%H R. H. Hardin, <a href="/A214233/b214233.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 1953*a(n-1) -829512*a(n-2) +119749880*a(n-3) -7217451834*a(n-4) +211005732306*a(n-5) -3163113776744*a(n-6) +24791539817472*a(n-7) -99982144638429*a(n-8) +193376413692421*a(n-9) -161723079970872*a(n-10) +46496477673360*a(n-11)

%e Some solutions for n=4

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

%e ..1..2..0..2....1..0..1..2....1..2..1..2....3..0..3..4....1..0..1..2

%e ..3..4..1..4....0..2..0..3....2..0..2..3....4..2..1..2....0..1..0..3

%e ..0..1..0..5....4..0..2..1....0..1..0..1....3..1..4..5....1..3..1..0

%K nonn

%O 1,1

%A _R. H. Hardin_ Jul 08 2012