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A259520 Number of (n+1)X(4+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0000 0001 0011 0101 or 1111 1

%I #4 Jun 29 2015 15:39:35

%S 380,6100,93028,1447270,22453286,348802846,5417785744,84159480298,

%T 1307320968014,20307866257912,315461519753608,4900368198470600,

%U 76122150981402540,1182478924960407640,18368587834267497600

%N Number of (n+1)X(4+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0000 0001 0011 0101 or 1111

%C Column 4 of A259524

%H R. H. Hardin, <a href="/A259520/b259520.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 25*a(n-1) -152*a(n-2) -109*a(n-3) +3368*a(n-4) -6811*a(n-5) -12971*a(n-6) +49951*a(n-7) -9491*a(n-8) -92048*a(n-9) +49214*a(n-10) +74086*a(n-11) -38089*a(n-12) -32429*a(n-13) +8846*a(n-14) +6910*a(n-15) -139*a(n-16) -458*a(n-17) -58*a(n-18) -2*a(n-19)

%e Some solutions for n=3

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

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

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

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

%Y Cf. A259524

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 29 2015

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Last modified September 14 19:28 EDT 2024. Contains 375929 sequences. (Running on oeis4.)