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 A275141 Number of n X 7 0..2 arrays with no element equal to any value at offset (-2,-2) (-1,-2) or (0,-1) and new values introduced in order 0..2. 1

%I

%S 32,1296,2816,17872,107472,663904,4055152,24875600,152379136,

%T 933805200,5721947536,35062147296,214849132208,1316520434704,

%U 8067189289984,49432958970960,302908230284368,1856117667993184,11373652262370288

%N Number of n X 7 0..2 arrays with no element equal to any value at offset (-2,-2) (-1,-2) or (0,-1) and new values introduced in order 0..2.

%H R. H. Hardin, <a href="/A275141/b275141.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) + 18*a(n-2) + 11*a(n-3) - 23*a(n-4) - 4*a(n-5) for n>7.

%F Empirical g.f.: 16*x*(2 + 75*x - 103*x^2 - 891*x^3 - 647*x^4 + 1172*x^5 + 144*x^6) / (1 - 3*x - 18*x^2 - 11*x^3 + 23*x^4 + 4*x^5). - _Colin Barker_, Jan 31 2019

%e Some solutions for n=5:

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

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

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

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

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

%Y Column 7 of A275142.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 17 2016

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Last modified December 2 18:41 EST 2021. Contains 349445 sequences. (Running on oeis4.)