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A222924 T(n,k)=Number of nXk 0..4 arrays with no three equal values in a row horizontally or vertically, and new values 0..4 introduced in row major order.

%I A222924 #6 Jul 23 2025 03:16:20
%S A222924 1,2,2,4,15,4,12,174,174,12,41,3183,13571,3183,41,158,68076,1396408,
%T A222924 1396408,68076,158,663,1543538,149478882,700411548,149478882,1543538,
%U A222924 663,2944,35663142,16132176644,352790675074,352790675074,16132176644
%N A222924 T(n,k)=Number of nXk 0..4 arrays with no three equal values in a row horizontally or vertically, and new values 0..4 introduced in row major order.
%C A222924 Table starts
%C A222924 .....1...........2...............4................12..................41
%C A222924 .....2..........15.............174..............3183...............68076
%C A222924 .....4.........174...........13571...........1396408...........149478882
%C A222924 ....12........3183.........1396408.........700411548........352790675074
%C A222924 ....41.......68076.......149478882......352790675074.....829048065675262
%C A222924 ...158.....1543538.....16132176644...177991922235005.1950399182366908036
%C A222924 ...663....35663142...1743046774975.89795579488204082
%C A222924 ..2944...829049736.188375987615301
%C A222924 .13537.19310392822
%C A222924 .63551
%H A222924 R. H. Hardin, <a href="/A222924/b222924.txt">Table of n, a(n) for n = 1..60</a>
%e A222924 Some solutions for n=3 k=4
%e A222924 ..0..0..1..0....0..0..1..0....0..0..1..0....0..0..1..0....0..0..1..0
%e A222924 ..1..2..0..1....2..0..3..2....2..1..3..0....2..1..2..2....2..2..0..1
%e A222924 ..2..2..3..3....1..3..4..0....3..1..3..3....0..2..2..3....0..3..4..2
%K A222924 nonn,tabl
%O A222924 1,2
%A A222924 _R. H. Hardin_ Mar 09 2013