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A280482 Number of 3Xn 0..2 arrays with no element unequal to a strict majority 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 04 2017 06:31:02

%S 0,30,208,997,4070,15441,55149,189470,630973,2051794,6544747,20548963,

%T 63673137,195096252,592041835,1781597453,5321888489,15793808706,

%U 46599296619,136773367915,399552426209,1162212024424,3367443663003

%N Number of 3Xn 0..2 arrays with no element unequal to a strict majority 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 3 of A280480.

%H R. H. Hardin, <a href="/A280482/b280482.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 11*a(n-1) -43*a(n-2) +45*a(n-3) +162*a(n-4) -534*a(n-5) +298*a(n-6) +1054*a(n-7) -1829*a(n-8) +47*a(n-9) +1985*a(n-10) -895*a(n-11) -308*a(n-12) -1748*a(n-13) +1696*a(n-14) +2932*a(n-15) -3512*a(n-16) -896*a(n-17) +720*a(n-18) +1776*a(n-19) +960*a(n-20) -2752*a(n-21) -256*a(n-22) +704*a(n-23) +640*a(n-24) +256*a(n-25) -512*a(n-26) for n>32

%e Some solutions for n=4

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

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

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

%Y Cf. A280480.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 04 2017

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Last modified March 28 08:22 EDT 2024. Contains 371236 sequences. (Running on oeis4.)