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A208312 Number of n X 6 0..1 arrays with new values 0..1 introduced in row major order and no element equal to more than one of its immediate leftward or upward neighbors. 1

%I

%S 32,486,6222,75744,906120,10771434,127750122,1513877040,17934682392,

%T 212448242124,2516504538384,29808303670134,353081615286042,

%U 4182272924282172,49539251361171168,586795048978163022

%N Number of n X 6 0..1 arrays with new values 0..1 introduced in row major order and no element equal to more than one of its immediate leftward or upward neighbors.

%C Column 6 of A208314.

%H R. H. Hardin, <a href="/A208312/b208312.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 33*a(n-1) -465*a(n-2) +3933*a(n-3) -23001*a(n-4) +99921*a(n-5) -334593*a(n-6) +877689*a(n-7) -1807461*a(n-8) +2898261*a(n-9) -3560841*a(n-10) +3279285*a(n-11) -2205225*a(n-12) +1050489*a(n-13) -338985*a(n-14) +67797*a(n-15) -6561*a(n-16).

%e Some solutions for n=4

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

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

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

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

%Y Cf. A208314.

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 25 2012

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Last modified May 27 10:32 EDT 2022. Contains 354096 sequences. (Running on oeis4.)