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A276295 Number of nX4 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 08:23:48

%S 4,36,173,1017,5965,34865,203933,1192701,6974781,40786925,238509373,

%T 1394719389,8155807421,47692103389,278885349565,1630815353885,

%U 9536385985277,55765143107101,326093248975229,1906868691945053

%N Number of nX4 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 Column 4 of A276299.

%H R. H. Hardin, <a href="/A276295/b276295.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) -20*a(n-2) +17*a(n-3) -65*a(n-4) +116*a(n-5) -40*a(n-6) +124*a(n-7) -172*a(n-8) +16*a(n-9) -48*a(n-10) +64*a(n-11) for n>13

%e Some solutions for n=4

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

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

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

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

%Y Cf. A276299.

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 28 2016

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Last modified July 19 13:06 EDT 2024. Contains 374394 sequences. (Running on oeis4.)