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A208711 Number of 4Xn 0..1 arrays with new values 0..1 introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors 1

%I #5 Mar 31 2012 12:37:24

%S 8,128,1372,16084,185344,2142580,24754628,286034292,3305009328,

%T 38188137788,441249345280,5098468022268,58910854227068,

%U 680692462409636,7865141904908344,90878716312611076,1050068921631026592

%N Number of 4Xn 0..1 arrays with new values 0..1 introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors

%C Row 4 of A208709

%H R. H. Hardin, <a href="/A208711/b208711.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) +31*a(n-2) -11*a(n-3) -71*a(n-4) -a(n-5) +38*a(n-6) -8*a(n-7) for n>9

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 01 2012

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Last modified April 13 14:26 EDT 2024. Contains 371642 sequences. (Running on oeis4.)