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A276302 Number of 5Xn 0..2 arrays with no element equal to any value at offset (-2,-1) (-1,1) or (0,-1) and new values introduced in order 0..2. 1

%I #4 Aug 28 2016 08:30:00

%S 41,88,805,5965,50949,408105,3363533,27372713,224012077,1828722821,

%T 14945190941,122079734781,997423034925,8148425295997,66571199181721,

%U 543864761405757,4443232843935221,36299916368689017,296560213286564513

%N Number of 5Xn 0..2 arrays with no element equal to any value at offset (-2,-1) (-1,1) or (0,-1) and new values introduced in order 0..2.

%C Row 5 of A276299.

%H R. H. Hardin, <a href="/A276302/b276302.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +33*a(n-2) +66*a(n-3) +94*a(n-4) -115*a(n-5) -155*a(n-6) -255*a(n-7) +236*a(n-8) +152*a(n-9) +61*a(n-10) -213*a(n-11) +90*a(n-12) -5*a(n-13) +13*a(n-14) -4*a(n-15) for n>17

%e Some solutions for n=4

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

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

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

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

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

%Y Cf. A276299.

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 28 2016

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)