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A253701 Number of (4+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 08:52:51

%S 264,304,480,700,992,1262,1790,2538,4020,5990,8836,12394,17968,26012,

%T 38598,56584,83518,120602,175720,255184,375296,547746,802690,1169748,

%U 1708828,2488792,3641134,5318124,7778660,11346426,16583046,24197884

%N Number of (4+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 4 of A253698

%H R. H. Hardin, <a href="/A253701/b253701.txt">Table of n, a(n) for n = 1..210</a>

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

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 09 2015

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Last modified September 6 06:40 EDT 2024. Contains 375704 sequences. (Running on oeis4.)