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A186012 1/8192 the number of (n+2)X4 0..3 arrays with no 3X3 subblock trace equal to any horizontal or vertical neighbor 3X3 subblock trace 1

%I #5 Mar 31 2012 12:36:04

%S 1758,301296,52270814,9070779376,1574001377834,273130696591960,

%T 47395262542477394,8224311645479697688,1427131988463422454506,

%U 247644525687225793261480,42972767275798088553016770

%N 1/8192 the number of (n+2)X4 0..3 arrays with no 3X3 subblock trace equal to any horizontal or vertical neighbor 3X3 subblock trace

%C Column 2 of A186019

%H R. H. Hardin, <a href="/A186012/b186012.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=114*a(n-1)+10329*a(n-2)+35566*a(n-3)-6225540*a(n-4)+2186532*a(n-5)+1587703872*a(n-6)-9798344360*a(n-7)-147123145218*a(n-8)+1960170443572*a(n-9)-2665967876070*a(n-10)-86187781368644*a(n-11)+624465244317464*a(n-12)-1010255752791240*a(n-13)-8091453661907128*a(n-14)+53540297034829552*a(n-15)-133997096141260565*a(n-16)+70514010784464522*a(n-17)+536313374469172197*a(n-18)-1899389083202463258*a(n-19)+3592775419779955716*a(n-20)-4875253308951845868*a(n-21)+5212414920745336608*a(n-22)-4265797853429976024*a(n-23)+2318744648953982592*a(n-24)-586919240202114720*a(n-25)-86660427663648000*a(n-26)+86061028350528000*a(n-27)-13799439521280000*a(n-28)

%e Some solutions for 6X4

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

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

%e ..1..0..0..2....3..0..0..2....1..0..0..2....1..0..0..2....3..0..0..2

%e ..2..2..0..0....0..0..0..0....3..2..0..0....2..2..0..0....1..0..0..0

%e ..2..3..0..1....2..0..1..1....0..0..0..1....2..0..2..1....0..1..3..1

%e ..3..0..0..2....2..1..1..3....2..0..1..3....2..0..1..2....2..0..1..2

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 10 2011

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Last modified February 26 10:16 EST 2024. Contains 370343 sequences. (Running on oeis4.)