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A280903 Number of 2Xn 0..2 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. 1

%I #4 Jan 10 2017 10:26:34

%S 0,1,10,213,2292,21762,184076,1457827,11000888,80107879,567420546,

%T 3931417538,26752272278,179329108005,1186930999936,7770945222145,

%U 50399529101088,324186782002754,2070149445768880,13133990417566391

%N Number of 2Xn 0..2 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

%C Row 2 of A280902.

%H R. H. Hardin, <a href="/A280903/b280903.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 15*a(n-1) -57*a(n-2) -88*a(n-3) +651*a(n-4) +333*a(n-5) -2520*a(n-6) -939*a(n-7) +4569*a(n-8) +1456*a(n-9) -4131*a(n-10) -933*a(n-11) +1793*a(n-12) +60*a(n-13) -336*a(n-14) +64*a(n-15) for n>17

%e Some solutions for n=4

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

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

%Y Cf. A280902.

%K nonn

%O 1,3

%A _R. H. Hardin_, Jan 10 2017

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Last modified April 19 16:52 EDT 2024. Contains 371794 sequences. (Running on oeis4.)