%I #6 Jun 22 2022 11:53:30
%S 145121216,10906923,10906923,6162817,1268962,6162817,4750292,1477939,
%T 1477939,4750292,4617228,1642077,1800748,1642077,4617228,4971859,
%U 1727928,1978918,1978918,1727928,4971859,5047936,1767017,2061018,2157776,2061018
%N T(n,k) = Number of (n+6) X (k+6) 0..2 matrices with each 7 X 7 subblock idempotent.
%C Table starts
%C .145121216.10906923.6162817.4750292.4617228.4971859.5047936.5029695.5708639
%C ..10906923..1268962.1477939.1642077.1727928.1767017.1778834.1780319.2325778
%C ...6162817..1477939.1800748.1978918.2061018.2097855.2114887.2124211.2665911
%C ...4750292..1642077.1978918.2157776.2240464.2277483.2294940.2304404.2847472
%C ...4617228..1727928.2061018.2240464.2323256.2360402.2377907
%C ...4971859..1767017.2097855.2277483.2360402.2397590
%C ...5047936..1778834.2114887.2294940.2377907
%C ...5029695..1780319.2124211.2304404
%C ...5708639..2325778.2665911
%C ...7589727..3228402
%H R. H. Hardin, <a href="/A224642/b224642.txt">Table of n, a(n) for n = 1..70</a>
%e Some solutions for n=2, k=4
%e ..1..0..0..0..0..0..0..0..0..0....1..0..0..0..0..0..0..0..0..0
%e ..1..0..0..0..0..0..0..0..0..2....1..0..0..0..0..0..0..0..0..1
%e ..0..0..0..0..0..0..0..0..0..1....0..0..0..0..0..0..0..0..0..0
%e ..1..0..0..0..0..0..0..0..0..0....1..0..0..0..0..0..0..0..0..1
%e ..2..0..0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0..0..1
%e ..0..0..0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0..0..1
%e ..2..0..0..0..0..0..0..0..0..1....1..0..0..0..0..0..0..0..0..1
%e ..1..0..0..0..0..0..0..0..0..1....2..0..0..0..0..0..0..0..0..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Apr 13 2013