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A253699 Number of (2+1)X(n+1) 0..1 arrays with every 2X2 subblock ne-sw antidiagonal difference unequal to its neighbors horizontally and nw+se diagonal sum unequal to its neighbors vertically 1

%I #4 Jan 09 2015 08:51:07

%S 40,76,150,282,540,1026,1984,3782,7270,13880,26644,51026,97726,187364,

%T 358554,687792,1316136,2524044,4831726,9262042,17738282,33988728,

%U 65116062,124738388,239016216,457824900,877280898,1680426234,3219854846

%N Number of (2+1)X(n+1) 0..1 arrays with every 2X2 subblock ne-sw antidiagonal difference unequal to its neighbors horizontally and nw+se diagonal sum unequal to its neighbors vertically

%C Row 2 of A253698

%H R. H. Hardin, <a href="/A253699/b253699.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-2) -2*a(n-4) +5*a(n-5) -7*a(n-6) -3*a(n-7) +9*a(n-8) -5*a(n-9) +a(n-10) +5*a(n-11) -6*a(n-12) -2*a(n-13) +4*a(n-14) -a(n-16)

%e Some solutions for n=4

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 09 2015

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)