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%I #5 Dec 18 2015 18:18:27
%S 2,2,8,2,12,50,2,16,122,452,2,20,218,2052,5682,2,24,344,5584,54182,
%T 96608,2,28,488,12476,248442,2236302,2185738,2,32,668,23568,855192,
%U 20394466,145121216,65108492,2,36,860,41668,2319872,126252320
%N T(n,k)=Number of idempotent n X n 0..k matrices
%C Table starts
%C ........2.........2........2.........2.......2.....2...2..2.2
%C ........8........12.......16........20......24....28..32.36
%C .......50.......122......218.......344.....488...668.860
%C ......452......2052.....5584.....12476...23568.41668
%C .....5682.....54182...248442....855192.2319872
%C ....96608...2236302.20394466.126252320
%C ..2185738.145121216
%C .65108492
%e Some solutions for n=3 k=4
%e ..0..2..0....1..0..0....0..0..3....1..0..0....0..0..0....0..3..0....1..4..1
%e ..0..1..0....3..0..2....0..0..4....0..1..0....4..1..0....0..1..0....0..0..0
%e ..0..2..0....0..0..1....0..0..1....4..2..0....0..0..0....0..2..0....0..0..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Apr 09 2013