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A253704 Number of (7+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 08:55:18

%S 4456,2416,2982,3136,4180,5030,6558,8846,12620,17170,22264,27490,

%T 36614,48914,70968,96312,131294,168514,223910,300006,420174,580192,

%U 795556,1051418,1403720,1862978,2573560,3507284,4848850,6469278,8721932

%N Number of (7+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 7 of A253698

%H R. H. Hardin, <a href="/A253704/b253704.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-2) +a(n-5) -a(n-6) +2*a(n-7) +a(n-8) -8*a(n-9) -a(n-10) +2*a(n-11) +5*a(n-13) -11*a(n-15) +6*a(n-17) +6*a(n-19) -8*a(n-21) +a(n-23) +4*a(n-25) for n>37

%e Some solutions for n=4

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 09 2015

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)