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A183710 T(n,k) = Number of (n+1) X (k+1) 0..3 arrays with every 2 X 2 subblock nonsingular. 10

%I #7 Apr 04 2018 10:11:27

%S 192,2472,2472,31800,108624,31800,409128,4760784,4760784,409128,

%T 5263608,208772880,710460576,208772880,5263608,67718760,9154058448,

%U 106093597920,106093597920,9154058448,67718760,871232952,401390133264,15840740585184

%N T(n,k) = Number of (n+1) X (k+1) 0..3 arrays with every 2 X 2 subblock nonsingular.

%C Table starts

%C ...........192................2472.....................31800

%C ..........2472..............108624...................4760784

%C .........31800.............4760784.................710460576

%C ........409128...........208772880..............106093597920

%C .......5263608..........9154058448............15840740585184

%C ......67718760........401390133264..........2365244332190880

%C .....871232952......17600152230096........353161421431958880

%C ...11208812712.....771732813754128......52731638795200916256

%C ..144206530680...33838983410458320....7873523002759947918432

%C .1855283342568.1483773801471835152.1175620025708806400583456

%H R. H. Hardin, <a href="/A183710/b183710.txt">Table of n, a(n) for n = 1..112</a>

%e Some solutions for 4X3

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jan 06 2011

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Last modified August 24 17:23 EDT 2024. Contains 375417 sequences. (Running on oeis4.)