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%I #5 Dec 18 2015 18:18:30
%S 1,1,10,1,26,75,1,42,399,500,1,58,927,5220,3125,1,74,1815,17380,64285,
%T 18750,1,106,2751,46884
%N T(n,k)=Number of idempotent n X n -k..k matrices of rank n-1
%C Table starts
%C .....1.....1.....1.....1....1...1.1
%C ....10....26....42....58...74.106
%C ....75...399...927..1815.2751
%C ...500..5220.17380.46884
%C ..3125.64285
%C .18750
%e Some solutions for n=3 k=4
%e .-3..2.-1....1..0..1...-3..3..4...-1..0..2....1.-2..4....1..0..0...-3.-3..0
%e .-4..3.-1....0..1.-2...-4..4..4...-2..1..2....0..0..2....0..1..0....4..4..0
%e ..4.-2..2....0..0..0....0..0..1...-1..0..2....0..0..1....3..3..0....0..0..1
%K nonn,tabl
%O 1,3
%A _R. H. Hardin_ Apr 09 2013
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