cp's OEIS Frontend

A222336 Number of n X 3 0..6 arrays with no entry increasing mod 7 by 6 rightwards or downwards, starting with upper left zero.

%I A222336 #8 Mar 15 2018 06:45:15
%S A222336 36,5766,923526,147918906,23691810366,3794659477146,607781352505806,
%T A222336 97346856728146986,15591808593304758846,2497301950787699442426,
%U A222336 399986762028752524653486,64064904024834487199387466
%N A222336 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 A222336 Column 3 of A222340.
%H A222336 R. H. Hardin, <a href="/A222336/b222336.txt">Table of n, a(n) for n = 1..210</a>
%F A222336 Empirical: a(n) = 165*a(n-1) - 774*a(n-2).
%F A222336 Empirical g.f.: 6*x*(6 - 29*x) / (1 - 165*x + 774*x^2). - _Colin Barker_, Mar 15 2018
%e A222336 Some solutions for n=3:
%e A222336 ..0..0..2....0..0..1....0..0..1....0..0..2....0..0..3....0..0..2....0..0..5
%e A222336 ..3..3..0....0..1..2....1..2..5....1..1..6....2..2..5....3..0..3....0..3..6
%e A222336 ..1..1..4....5..3..6....6..6..1....4..1..2....4..0..0....0..3..4....3..5..3
%Y A222336 Cf. A222340
%K A222336 nonn
%O A222336 1,1
%A A222336 _R. H. Hardin_, Feb 15 2013