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 A239539 Number of (5+1)X(n+1) 0..2 arrays with no element equal to all horizontal neighbors or unequal to all vertical neighbors, and new values 0..2 introduced in row major order 1

%I

%S 47,406,13254,293741,7199001,171712936,4125560328,98927618805,

%T 2373444167504,56935033821392,1365829523251090,32764912977503476,

%U 786000316204257639,18855415452720965204,452323942169129930212

%N Number of (5+1)X(n+1) 0..2 arrays with no element equal to all horizontal neighbors or unequal to all vertical neighbors, and new values 0..2 introduced in row major order

%C Row 5 of A239537

%H R. H. Hardin, <a href="/A239539/b239539.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 18*a(n-1) +182*a(n-2) -633*a(n-3) -6803*a(n-4) -6775*a(n-5) +106867*a(n-6) +431889*a(n-7) -869473*a(n-8) -3949105*a(n-9) -6257065*a(n-10) +35912689*a(n-11) +43919180*a(n-12) -44033625*a(n-13) -350944821*a(n-14) +11227128*a(n-15) +903916254*a(n-16) +345518286*a(n-17) -1175749708*a(n-18) -1409760256*a(n-19) +1442409200*a(n-20) +1805462320*a(n-21) -1287432256*a(n-22) -1543057504*a(n-23) +885072544*a(n-24) +1671519616*a(n-25) -998510432*a(n-26) -1343922048*a(n-27) +1000997440*a(n-28) +417630080*a(n-29) -613962880*a(n-30) +44547840*a(n-31) +230817792*a(n-32) -30259200*a(n-33) -30826496*a(n-34) +6275072*a(n-35) -1966080*a(n-36) -1966080*a(n-37)

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 21 2014

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Last modified January 28 14:26 EST 2022. Contains 350656 sequences. (Running on oeis4.)