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A209744 T(n,k)=Number of nXk 0..5 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..5 introduced in row major order.

%I A209744 #7 Jul 22 2025 21:57:01
%S A209744 1,2,2,5,6,5,15,57,57,15,52,700,2025,700,52,203,10594,103373,103373,
%T A209744 10594,203,876,183240,6262064,20611956,6262064,183240,876,4111,
%U A209744 3412100,404495219,4474325828,4474325828,404495219,3412100,4111,20648,65953664
%N A209744 T(n,k)=Number of nXk 0..5 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..5 introduced in row major order.
%C A209744 Table starts
%C A209744 ....1........2.............5................15.....................52
%C A209744 ....2........6............57...............700..................10594
%C A209744 ....5.......57..........2025............103373................6262064
%C A209744 ...15......700........103373..........20611956.............4474325828
%C A209744 ...52....10594.......6262064........4474325828..........3309942226828
%C A209744 ..203...183240.....404495219......991613495404.......2462887498725440
%C A209744 ..876..3412100...26715084257...220845828478730....1834383283218723590
%C A209744 .4111.65953664.1777603386801.49242046909442868.1366486932112899379170
%H A209744 R. H. Hardin, <a href="/A209744/b209744.txt">Table of n, a(n) for n = 1..112</a>
%e A209744 Some solutions for n=5 k=3
%e A209744 ..0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..1
%e A209744 ..1..2..1....1..2..1....1..2..1....1..2..1....1..2..1....1..2..1....1..2..0
%e A209744 ..0..1..0....3..3..1....2..3..1....0..0..1....0..0..0....2..0..0....0..0..1
%e A209744 ..1..2..0....0..1..2....1..2..3....2..1..2....1..3..4....0..3..4....1..2..0
%e A209744 ..3..1..0....0..3..1....0..0..0....1..0..0....1..5..3....0..5..4....1..0..3
%Y A209744 Column 1 is A056273
%K A209744 nonn,tabl
%O A209744 1,2
%A A209744 _R. H. Hardin_ Mar 12 2012