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%I #4 Feb 17 2015 13:26:41
%S 23,22,22,31,28,31,43,37,37,43,61,49,46,49,61,88,67,58,58,67,88,127,
%T 94,76,70,76,94,127,184,133,103,88,88,103,133,184,268,190,142,115,106,
%U 115,142,190,268,391,274,199,154,133,133,154,199,274,391,571,397,283,211,172
%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 and no antidiagonal sum 0 and no row sum 2 and no column sum 2
%C Table starts
%C ..23..22..31..43..61..88.127.184.268.391.571..835.1222.1789.2620.3838.5623.8239
%C ..22..28..37..49..67..94.133.190.274.397.577..841.1228.1795.2626.3844.5629.8245
%C ..31..37..46..58..76.103.142.199.283.406.586..850.1237.1804.2635.3853.5638.8254
%C ..43..49..58..70..88.115.154.211.295.418.598..862.1249.1816.2647.3865.5650.8266
%C ..61..67..76..88.106.133.172.229.313.436.616..880.1267.1834.2665.3883.5668.8284
%C ..88..94.103.115.133.160.199.256.340.463.643..907.1294.1861.2692.3910.5695.8311
%C .127.133.142.154.172.199.238.295.379.502.682..946.1333.1900.2731.3949.5734.8350
%C .184.190.199.211.229.256.295.352.436.559.739.1003.1390.1957.2788.4006.5791.8407
%C .268.274.283.295.313.340.379.436.520.643.823.1087.1474.2041.2872.4090.5875.8491
%C .391.397.406.418.436.463.502.559.643.766.946.1210.1597.2164.2995.4213.5998.8614
%H R. H. Hardin, <a href="/A255228/b255228.txt">Table of n, a(n) for n = 1..1860</a>
%F Empirical for diagonal:
%F a(n) = 2*a(n-1) -a(n-2) +a(n-3) -a(n-4) for n>5
%F Empirical for column k:
%F k=1: a(n) = 2*a(n-1) -a(n-2) +a(n-3) -a(n-4) for n>5
%F k=2-7: a(n) = 2*a(n-1) -a(n-2) +a(n-3) -a(n-4)
%e Some solutions for n=4 k=4
%e ..0..0..0..0..1..0....1..1..1..1..1..1....0..0..0..0..1..0....0..1..0..0..0..0
%e ..0..0..0..0..1..0....1..0..0..1..0..0....1..1..1..1..1..1....1..1..1..1..1..1
%e ..1..1..1..1..1..1....1..0..0..1..0..0....0..0..0..0..1..0....0..1..0..0..0..0
%e ..0..0..0..0..1..0....1..0..0..1..0..0....0..0..0..0..1..0....0..1..0..0..0..0
%e ..0..0..0..0..1..0....1..1..1..1..1..1....1..1..1..1..1..1....1..1..1..1..1..1
%e ..1..1..1..1..1..1....1..0..0..1..0..0....0..0..0..0..1..0....0..1..0..0..0..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 17 2015
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