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A259423 Number of (n+1)X(4+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0000 0001 0011 or 0111 1

%I #4 Jun 26 2015 17:30:54

%S 469,7695,123306,1990133,32060569,516880938,8331704179,134312969201,

%T 2165188798924,34904319329031,562681121125617,9070816244710226,

%U 146227977764091271,2357299291195098509,38001348653396589778

%N Number of (n+1)X(4+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0000 0001 0011 or 0111

%C Column 4 of A259427

%H R. H. Hardin, <a href="/A259423/b259423.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 18*a(n-1) +34*a(n-2) -1078*a(n-3) -384*a(n-4) +17595*a(n-5) -3702*a(n-6) -104436*a(n-7) +47348*a(n-8) +254812*a(n-9) -155015*a(n-10) -240597*a(n-11) +170095*a(n-12) +72147*a(n-13) -60513*a(n-14) -2266*a(n-15) +6147*a(n-16) -594*a(n-17) -142*a(n-18) +25*a(n-19) -a(n-20)

%e Some solutions for n=3

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

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

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

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

%Y Cf. A259427

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 26 2015

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Last modified August 14 04:13 EDT 2024. Contains 375146 sequences. (Running on oeis4.)