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Number of (n+2)X(1+2) 0..1 arrays with every 3X3 subblock sum of the two maximums of the central row and the central column and the two medians of the diagonal and antidiagonal nondecreasing horizontally and vertically
2

%I #4 Feb 06 2015 12:55:15

%S 512,2630,11677,48168,185287,689386,2473062,8658471,29751063,

%T 100670841,336473119,1113296226,3653127707,11905443852,38578340182,

%U 124412575639,399614077574,1279229985977,4083348943956,13002745584653,41320382225461

%N Number of (n+2)X(1+2) 0..1 arrays with every 3X3 subblock sum of the two maximums of the central row and the central column and the two medians of the diagonal and antidiagonal nondecreasing horizontally and vertically

%C Column 1 of A254728

%H R. H. Hardin, <a href="/A254721/b254721.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) -23*a(n-2) +39*a(n-3) -74*a(n-4) +97*a(n-5) -70*a(n-6) +157*a(n-7) -7*a(n-8) -240*a(n-9) +137*a(n-10) -1240*a(n-11) +1243*a(n-12) -1518*a(n-13) +3483*a(n-14) -1570*a(n-15) +2216*a(n-16) -460*a(n-17) -3884*a(n-18) +5769*a(n-19) -8541*a(n-20) +9805*a(n-21) -10573*a(n-22) +4169*a(n-23) -2404*a(n-24) -3292*a(n-25) +11130*a(n-26) -11804*a(n-27) +14016*a(n-28) -9264*a(n-29) +6456*a(n-30) -256*a(n-31) -3824*a(n-32) +3584*a(n-33) -6400*a(n-34) +4736*a(n-35) -2624*a(n-36) +1280*a(n-37) -256*a(n-38) for n>42

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 06 2015