A253979 - OEIS

%I #4 Jan 21 2015 17:45:58

%S 3372,36434,417518,4858102,55806952,642845877,7415403315,85480006244,

%T 985444143538,11361747566006,130991488743058,1510223810043470,

%U 17411755136338197,200744247407994048,2314427455666140644

%N Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock diagonal maximum plus antidiagonal maximum nondecreasing horizontally and vertically

%C Column 2 of A253985

%H R. H. Hardin, <a href="/A253979/b253979.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 13*a(n-1) -7*a(n-2) -43*a(n-3) -860*a(n-4) -920*a(n-5) +15830*a(n-6) -9400*a(n-7) -7539*a(n-8) -98847*a(n-9) +40329*a(n-10) +147709*a(n-11) +83340*a(n-12) +421956*a(n-13) -537724*a(n-14) +204762*a(n-15) -1909934*a(n-16) -520990*a(n-17) +1344182*a(n-18) -2472492*a(n-19) +10604787*a(n-20) +1923137*a(n-21) -6305887*a(n-22) -1207655*a(n-23) -18037820*a(n-24) +3466634*a(n-25) +11862724*a(n-26) +5340110*a(n-27) +12134681*a(n-28) -11925689*a(n-29) -8047471*a(n-30) +1011577*a(n-31) -3455262*a(n-32) +6530290*a(n-33) +1826872*a(n-34) -3037352*a(n-35) +578112*a(n-36) +205440*a(n-37) -198848*a(n-38) +22784*a(n-39) +10496*a(n-40) -1024*a(n-41)

%e Some solutions for n=2

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 21 2015