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A251404 Number of (n+1)X(2+1) 0..2 arrays with every 2X2 subblock summing to a prime 1

%I #4 Dec 02 2014 15:52:09

%S 238,2164,19654,179400,1634286,14919346,136033976,1241601558,

%T 11324851298,103347731602,942800497790,8602989816444,78487649036798,

%U 716159657613444,6533986460840950,59617758968511628,543941703260044888

%N Number of (n+1)X(2+1) 0..2 arrays with every 2X2 subblock summing to a prime

%C Column 2 of A251410

%H R. H. Hardin, <a href="/A251404/b251404.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) +60*a(n-2) -452*a(n-3) -649*a(n-4) +5937*a(n-5) +916*a(n-6) -23417*a(n-7) +4582*a(n-8) +26384*a(n-9) -7348*a(n-10) -1208*a(n-11) +48*a(n-12)

%e Some solutions for n=4

%e ..0..1..1....1..0..0....0..2..0....0..2..0....0..2..1....0..1..0....0..2..0

%e ..1..0..1....2..0..2....2..1..2....1..2..1....2..1..1....2..0..1....2..1..2

%e ..0..2..2....2..1..2....0..2..0....1..1..1....2..0..0....1..0..2....1..1..1

%e ..1..0..1....2..2..0....0..1..2....1..0..1....0..1..1....0..1..2....1..0..0

%e ..1..0..1....0..1..0....0..1..1....0..1..1....1..1..2....2..2..0....1..1..2

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 02 2014

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Last modified April 26 21:53 EDT 2024. Contains 372004 sequences. (Running on oeis4.)