A222336 - OEIS

%I #8 Mar 15 2018 06:45:15

%S 36,5766,923526,147918906,23691810366,3794659477146,607781352505806,

%T 97346856728146986,15591808593304758846,2497301950787699442426,

%U 399986762028752524653486,64064904024834487199387466

%N Number of n X 3 0..6 arrays with no entry increasing mod 7 by 6 rightwards or downwards, starting with upper left zero.

%C Column 3 of A222340.

%H R. H. Hardin, <a href="/A222336/b222336.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 165*a(n-1) - 774*a(n-2).

%F Empirical g.f.: 6*x*(6 - 29*x) / (1 - 165*x + 774*x^2). - _Colin Barker_, Mar 15 2018

%e Some solutions for n=3:

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

%e ..3..3..0....0..1..2....1..2..5....1..1..6....2..2..5....3..0..3....0..3..6

%e ..1..1..4....5..3..6....6..6..1....4..1..2....4..0..0....0..3..4....3..5..3

%Y Cf. A222340

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 15 2013