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A221226 Number of n X 2 arrays of occupancy after each element moves to some king-move neighbor, with no occupancy greater than 2. 2

%I #8 Mar 14 2018 08:14:41

%S 1,19,137,1033,7877,60223,460713,3524857,26968225,206327811,

%T 1578551849,12076946305,92396113725,706885768959,5408092980713,

%U 41375064828945,316543208763529,2421738125898019,18527690050695513,141747473284341977

%N Number of n X 2 arrays of occupancy after each element moves to some king-move neighbor, with no occupancy greater than 2.

%C Column 2 of A221229.

%H R. H. Hardin, <a href="/A221226/b221226.txt">Table of n, a(n) for n = 1..65</a>

%F Empirical: a(n) = 15*a(n-1) - 71*a(n-2) + 123*a(n-3) - 78*a(n-4) + 14*a(n-5) - 12*a(n-6) + 8*a(n-7).

%F Empirical g.f.: x*(1 + 4*x - 77*x^2 + 204*x^3 - 150*x^4 + 28*x^5 + 8*x^6) / (1 - 15*x + 71*x^2 - 123*x^3 + 78*x^4 - 14*x^5 + 12*x^6 - 8*x^7). - _Colin Barker_, Mar 14 2018

%e Some solutions for n=3:

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

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

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

%Y Cf. A221229.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 05 2013

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Last modified March 19 01:34 EDT 2024. Contains 370952 sequences. (Running on oeis4.)