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A251508 Number of (n+1)X(1+1) 0..4 arrays with every 2X2 subblock summing to a prime 1

%I #5 Dec 03 2014 16:59:22

%S 234,2264,21862,211680,2047194,19818328,191708742,1855695600,

%T 17952272890,173762374600,1681099972966,16270774744064,

%U 157421932250266,1523571767403576,14741276442715142,142665595478323984

%N Number of (n+1)X(1+1) 0..4 arrays with every 2X2 subblock summing to a prime

%C Column 1 of A251515

%H R. H. Hardin, <a href="/A251508/b251508.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +115*a(n-2) -138*a(n-3) -2996*a(n-4) +2512*a(n-5) +26576*a(n-6) -15680*a(n-7) -65856*a(n-8) +34560*a(n-9)

%e Some solutions for n=3

%e ..3..0....4..3....2..1....1..2....1..0....4..2....0..0....1..0....1..1....2..2

%e ..0..0....4..2....2..0....0..2....0..1....1..0....3..4....4..0....2..1....4..3

%e ..0..2....4..3....0..0....0..1....4..2....1..0....4..0....1..0....0..2....1..3

%e ..1..0....1..3....1..2....4..2....2..3....0..4....0..3....1..1....3..2....3..4

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 03 2014

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Last modified March 28 05:02 EDT 2024. Contains 371235 sequences. (Running on oeis4.)