A222099 - OEIS

%I #8 Aug 15 2018 12:38:00

%S 16,530,17694,591476,19776286,661254950,22110369320,739304841874,

%T 24720154977078,826568484486164,27637992729347366,924132309919617038,

%U 30900237030548459544,1033212061004215656522,34547539617728922860542

%N Number of n X 3 0..5 arrays with entries increasing mod 6 by 0, 1, 2 or 3 rightwards and downwards, starting with upper left zero.

%C Column 3 of A222104.

%H R. H. Hardin, <a href="/A222099/b222099.txt">Table of n, a(n) for n = 1..143</a>

%F Empirical: a(n) = 42*a(n-1) - 302*a(n-2) + 521*a(n-3) + 114*a(n-4) - 144*a(n-5).

%F Empirical g.f.: 2*x*(8 - 71*x + 133*x^2 + 26*x^3 - 36*x^4) / (1 - 42*x + 302*x^2 - 521*x^3 - 114*x^4 + 144*x^5). - _Colin Barker_, Aug 15 2018

%e Some solutions for n=3:

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

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

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

%Y Cf. A222104.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 07 2013