A214190 - OEIS

%I #4 Jul 07 2012 07:07:36

%S 34,1046,147943,21418431,3375824210,537471327779,85978533129243,

%T 13765597336821245,2204602881329983688,353096564867070887951,

%U 56554251279074204230121,9058140154145997330337181

%N Number of 0..6 colorings of a 3X(n+1) array circular in the n+1 direction with new values 0..6 introduced in row major order

%C Row 3 of A214187

%H R. H. Hardin, <a href="/A214190/b214190.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 139*a(n-1) +5515*a(n-2) -286157*a(n-3) -9529273*a(n-4) +113179647*a(n-5) +4029123791*a(n-6) -21482035001*a(n-7) -665136918315*a(n-8) +3470737828565*a(n-9) +52035528093885*a(n-10) -353663596245035*a(n-11) -1772488823978235*a(n-12) +18597082646494445*a(n-13) +6436724051209165*a(n-14) -461676350902794315*a(n-15) +989689896962549920*a(n-16) +4490761773386882420*a(n-17) -20885571816583158340*a(n-18) +2406786493445125820*a(n-19) +135386533520490778816*a(n-20) -242458279252260285504*a(n-21) -117064394722434074400*a(n-22) +741048574341017155392*a(n-23) -533060382247946111232*a(n-24) -464734745166440627712*a(n-25) +719025841858074960384*a(n-26) -101164868845572040704*a(n-27) -184396432098202951680*a(n-28) +60855200138907648000*a(n-29)

%e Some solutions for n=4

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jul 07 2012