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Number of 4Xn 0..2 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards.
1

%I #4 Jan 07 2017 08:11:07

%S 14,612,12484,310365,7533245,183331502,4460317695,108520231044,

%T 2640298250694,64238619127022,1562929767205929,38026186043293995,

%U 925179685380850290,22509684536321285656,547662154172647585113

%N Number of 4Xn 0..2 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards.

%C Row 4 of A280673.

%H R. H. Hardin, <a href="/A280676/b280676.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A280676/a280676.txt"> Empirical recurrence of order 73</a>

%F Empirical recurrence of order 73 (see link above)

%e Some solutions for n=3

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

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

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

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

%Y Cf. A280673.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 07 2017