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A222275 T(n,k) = Number of n X k 0..3 arrays with exactly floor(n X k/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..3 order. 7

%I #6 Mar 07 2022 13:50:32

%S 1,0,0,0,0,0,3,4,4,3,4,13,4,13,4,8,40,81,81,40,8,10,162,364,1042,364,

%T 162,10,55,888,5996,15309,15309,5996,888,55,72,3617,27980,259827,

%U 204555,259827,27980,3617,72,294,18136,507909,4721919,12855928,12855928,4721919

%N T(n,k) = Number of n X k 0..3 arrays with exactly floor(n X k/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..3 order.

%C Table starts

%C ....1......0........0..........3...........4...........8..........10

%C ....0......0........4.........13..........40.........162.........888

%C ....0......4........4.........81.........364........5996.......27980

%C ....3.....13.......81.......1042.......15309......259827.....4721919

%C ....4.....40......364......15309......204555....12855928...216228179

%C ....8....162.....5996.....259827....12855928...725139202.46568936746

%C ...10....888....27980....4721919...216228179.46568936746

%C ...55...3617...507909...86605540.15688878354

%C ...72..18136..2380692.1596666209

%C ..294..81560.44501178

%C ..378.407644

%C .1883

%H R. H. Hardin, <a href="/A222275/b222275.txt">Table of n, a(n) for n = 1..84</a>

%e Some solutions for n=3, k=4

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

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

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

%K nonn,tabl

%O 1,7

%A _R. H. Hardin_, Feb 14 2013

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Last modified April 16 20:04 EDT 2024. Contains 371754 sequences. (Running on oeis4.)