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T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with each 3X3 subblock singular.
4

%I #9 Oct 03 2025 02:48:38

%S 49246,1352770,1352770,35802874,119805310,35802874,742295518,

%T 10047874534,10047874534,742295518,17984702194,564143008386,

%U 2738040689182,564143008386,17984702194,426536161750,42151760266070,452748537865658

%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with each 3X3 subblock singular.

%C Table starts

%C ........49246........1352770........35802874.......742295518........17984702194

%C ......1352770......119805310.....10047874534....564143008386.....42151760266070

%C .....35802874....10047874534...2738040689182.452748537865658.113762289821953494

%C ....742295518...564143008386.452748537865658

%C ..17984702194.42151760266070

%C .426536161750

%H R. H. Hardin, <a href="/A184663/b184663.txt">Table of n, a(n) for n = 1..24</a>

%e Some solutions for 4X4

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jan 19 2011