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A239256 T(n,k)=Number of nXk 0..4 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it, modulo 5 9

%I

%S 4,13,13,41,142,41,131,1440,1440,131,419,14685,47066,14685,419,1339,

%T 150265,1536913,1536913,150265,1339,4279,1536541,50317761,160787652,

%U 50317761,1536541,4279,13675,15708373,1646590515,16849285277,16849285277

%N T(n,k)=Number of nXk 0..4 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it, modulo 5

%C Table starts

%C .....4.........13.............41.................131.....................419

%C ....13........142...........1440...............14685..................150265

%C ....41.......1440..........47066.............1536913................50317761

%C ...131......14685........1536913...........160787652.............16849285277

%C ...419.....150265.......50317761.........16849285277...........5651220281864

%C ..1339....1536541.....1646590515.......1764528331828........1894001136279187

%C ..4279...15708373....53870354874.....184748227954044......634624599110230148

%C .13675..160597823..1762466898003...19343554404948583...212646525863761263724

%C .43703.1641932577.57663066044594.2025327665047217766.71252844784847254804435

%H R. H. Hardin, <a href="/A239256/b239256.txt">Table of n, a(n) for n = 1..144</a>

%F Empirical for column k:

%F k=1: a(n) = 3*a(n-1) +2*a(n-3)

%F k=2: [order 25]

%e Some solutions for n=3 k=4

%e ..0..0..0..4....0..0..0..2....0..0..0..0....0..0..0..0....0..0..2..4

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Mar 13 2014

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Last modified May 19 22:32 EDT 2019. Contains 323411 sequences. (Running on oeis4.)