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%I #4 Jun 07 2015 16:50:57
%S 41728,386304,386304,3512272,5392960,3512272,27566112,58713912,
%T 58713912,27566112,202381312,479373352,730627431,479373352,202381312,
%U 1439941888,4020536064,5979059398,5979059398,4020536064,1439941888,9687764256
%N T(n,k)=Number of (n+3)X(k+3) 0..1 arrays with no 4x4 subblock diagonal sum less than the antidiagonal sum
%C Table starts
%C ......41728......386304......3512272......27566112.....202381312....1439941888
%C .....386304.....5392960.....58713912.....479373352....4020536064...28017797984
%C ....3512272....58713912....730627431....5979059398...52832293444..341477947200
%C ...27566112...479373352...5979059398...38427363716..282329901252.1449214072632
%C ..202381312..4020536064..52832293444..282329901252.1840394397973.7933658831926
%C .1439941888.28017797984.341477947200.1449214072632.7933658831926
%H R. H. Hardin, <a href="/A258689/b258689.txt">Table of n, a(n) for n = 1..59</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 45]
%e Some solutions for n=1 k=4
%e ..0..0..0..0..0..0..0....0..0..0..0..0..0..0....0..0..0..0..0..0..0
%e ..0..0..0..1..0..0..0....0..1..0..1..0..0..0....0..1..0..1..1..1..0
%e ..0..0..0..0..0..1..0....0..0..0..1..1..0..1....1..1..0..1..0..1..1
%e ..1..0..0..1..1..0..1....0..0..0..0..1..1..1....0..0..0..1..1..1..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jun 07 2015