A257420 - OEIS

%I #4 Apr 22 2015 10:37:35

%S 2616,7652,30309,119393,403951,1293242,4098078,12497488,37528750,

%T 111339861,326552920,949466125,2746182574,7900552664,22633690594,

%U 64617935573,183950154022,522353720305,1480269737481,4187439072469

%N Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal minimum nondecreasing horizontally, vertically and ne-to-sw antidiagonally

%C Column 2 of A257426

%H R. H. Hardin, <a href="/A257420/b257420.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) -22*a(n-2) +19*a(n-3) +18*a(n-4) -51*a(n-5) +72*a(n-6) -170*a(n-7) +350*a(n-8) -290*a(n-9) -175*a(n-10) +299*a(n-11) +215*a(n-12) +328*a(n-13) -2659*a(n-14) +3621*a(n-15) -1361*a(n-16) -1414*a(n-17) +3863*a(n-18) -5433*a(n-19) +3704*a(n-20) -1335*a(n-21) +42*a(n-22) +1911*a(n-23) -3043*a(n-24) +3082*a(n-25) -2396*a(n-26) +1173*a(n-27) -1060*a(n-28) +488*a(n-29) +1217*a(n-30) -1835*a(n-31) +1483*a(n-32) -954*a(n-33) +223*a(n-34) +245*a(n-35) -225*a(n-36) +128*a(n-37) -173*a(n-38) +179*a(n-39) -93*a(n-40) +23*a(n-41) +2*a(n-42) -8*a(n-43) +13*a(n-44) -13*a(n-45) +6*a(n-46) -a(n-47) for n>56

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A257426

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 22 2015