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A275405 Number of 6Xn 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,0) or (-1,1) and new values introduced in order 0..2. 1

%I

%S 24,129,1017,8122,65045,518049,4142271,33102260,264412286,2112680676,

%T 16879669489,134861200228,1077489437845,8608751763524,68780667761705,

%U 549531541049837,4390551455487162,35078855924532667,280266876696504422

%N Number of 6Xn 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,0) or (-1,1) and new values introduced in order 0..2.

%C Row 6 of A275401.

%H R. H. Hardin, <a href="/A275405/b275405.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +28*a(n-2) +137*a(n-3) +222*a(n-4) -178*a(n-5) -1692*a(n-6) -272*a(n-7) +217*a(n-8) +3612*a(n-9) -2256*a(n-10) +1680*a(n-11) -1648*a(n-12) +1472*a(n-13) -192*a(n-14) +512*a(n-15) -256*a(n-16) for n>17

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A275401.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 26 2016

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Last modified October 18 19:15 EDT 2021. Contains 348069 sequences. (Running on oeis4.)