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A204572 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..3 introduced in row major order 9

%I

%S 8,42,42,256,482,256,1682,6112,6112,1682,11448,80518,158981,80518,

%T 11448,79162,1075080,4220392,4220392,1075080,79162,551216,14421190,

%U 112592256,226207388,112592256,14421190,551216,3849762,193752824,3007468553

%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..3 introduced in row major order

%C Table starts

%C .......8.........42...........256.............1682...............11448

%C ......42........482..........6112............80518.............1075080

%C .....256.......6112........158981..........4220392...........112592256

%C ....1682......80518.......4220392........226207388.........12184154082

%C ...11448....1075080.....112592256......12184154082.......1331721926667

%C ...79162...14421190....3007468553.....657035534014.....146012317377342

%C ..551216..193752824...80358249724...35439471578008...16024704563231697

%C .3849762.2604524150.2147311723128.1911668983879844.1759237470505955994

%H R. H. Hardin, <a href="/A204572/b204572.txt">Table of n, a(n) for n = 1..144</a>

%e Some solutions for n=4 k=3

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 16 2012

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Last modified September 29 07:07 EDT 2022. Contains 357082 sequences. (Running on oeis4.)