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A224114 T(n,k) = Number of idempotent n X n 0..k matrices of rank 2. 2

%I #11 Feb 06 2023 12:47:59

%S 0,0,1,0,1,21,0,1,51,282,0,1,93,1434,3070,0,1,147,4182,30410,29505,0,

%T 1,213,9762,136990,546465,260967,0,1,291,19110,467290,3784335,8815317,

%U 2175236,0,1,381,34602,1240310,18925485,94529631

%N T(n,k) = Number of idempotent n X n 0..k matrices of rank 2.

%C Table starts:

%C .......0.......0........0........0.......0.....0...0.0.0

%C .......1.......1........1........1.......1.....1...1.1

%C ......21......51.......93......147.....213...291.381

%C .....282....1434.....4182.....9762...19110.34602

%C ....3070...30410...136990...467290.1240310

%C ...29505..546465..3784335.18925485

%C ..260967.8815317.94529631

%C .2175236

%e Some solutions for n=3, k=4:

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

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

%e ..0..0..0....0..0..1....0..0..1....3..0..1....4..0..1....0..0..0....0..3..1

%Y Row 3 is A224334.

%K nonn,tabl,more

%O 1,6

%A _R. H. Hardin_, Apr 09 2013

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Last modified March 29 02:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)