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A253694 Number of (n+1)X(4+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 08:46:00

%S 264,282,356,700,1120,1638,3136,4782,7926,14462,22656,39334,68068,

%T 110254,193022,326064,542916,941302,1578364,2668696,4579938,7691528,

%U 13087264,22287082,37577096,64014484,108601422,183741636,312684956,529783652

%N Number of (n+1)X(4+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 Column 4 of A253698

%H R. H. Hardin, <a href="/A253694/b253694.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-2) +2*a(n-3) -a(n-4) -a(n-6) -13*a(n-7) -8*a(n-8) +9*a(n-9) +a(n-10) +13*a(n-11) +31*a(n-12) -11*a(n-13) -26*a(n-14) +7*a(n-15) -5*a(n-16) -15*a(n-17) +7*a(n-18) +6*a(n-19) -2*a(n-20) +2*a(n-21) +2*a(n-22) for n>24

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 09 2015

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Last modified April 25 16:45 EDT 2024. Contains 371989 sequences. (Running on oeis4.)