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A275135 Number of 6Xn 0..2 arrays with no element equal to any value at offset (-2,-2) (-1,0) or (-1,1) and new values introduced in order 0..2. 1

%I #4 Jul 17 2016 11:04:51

%S 16,324,1083,8321,62378,473185,3586068,27224209,206864716,1571281413,

%T 11942779144,90722922402,689405748706,5238174766697,39801761785044,

%U 302425691696718,2297924356585952,17460451254284279,132669830674540739

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

%C Row 6 of A275131.

%H R. H. Hardin, <a href="/A275135/b275135.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +32*a(n-2) +117*a(n-3) +301*a(n-4) -196*a(n-5) -6255*a(n-6) -3361*a(n-7) -3603*a(n-8) -22745*a(n-9) +165021*a(n-10) +8504*a(n-11) -100758*a(n-12) +692296*a(n-13) -1045155*a(n-14) -356088*a(n-15) +1094300*a(n-16) -3137949*a(n-17) +2346676*a(n-18) +3048039*a(n-19) -3364817*a(n-20) +4783757*a(n-21) +1001864*a(n-22) -4054644*a(n-23) +818224*a(n-24) -774400*a(n-26) for n>28

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A275131.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 17 2016

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Last modified July 17 05:50 EDT 2024. Contains 374360 sequences. (Running on oeis4.)