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A275127 Number of nX4 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 10:57:51

%S 14,64,174,568,2178,8321,31772,121707,466252,1783920,6825273,26122839,

%T 99981686,382636173,1464403303,5604594713,21449747744,82091326930,

%U 314176968483,1202409074708,4601819411125,17611921823170,67403757335393

%N Number of nX4 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 Column 4 of A275131.

%H R. H. Hardin, <a href="/A275127/b275127.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) -9*a(n-2) +19*a(n-3) -9*a(n-4) -9*a(n-5) +87*a(n-6) -46*a(n-7) -84*a(n-8) +7*a(n-9) -59*a(n-10) -45*a(n-11) +31*a(n-12) +23*a(n-13) +4*a(n-14) -a(n-15) -a(n-16) +a(n-17) for n>20

%e Some solutions for n=4

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

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

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

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

%Y Cf. A275131.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 17 2016

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Last modified April 17 23:23 EDT 2024. Contains 371767 sequences. (Running on oeis4.)