A253865 - OEIS

%I #4 Jan 17 2015 09:41:18

%S 3328,31632,296960,2589968,22729728,195774608,1689797632,14500025360,

%T 124544611328,1068223200144,9166655759360,78628228353808,

%U 674532688614400,5785876228976272,49631400786527232,425724993855617552

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

%C Column 2 of A253871

%H R. H. Hardin, <a href="/A253865/b253865.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 13*a(n-1) -38*a(n-2) -82*a(n-3) +1143*a(n-4) -3979*a(n-5) +2864*a(n-6) -15792*a(n-7) +88960*a(n-8) -33152*a(n-9) -191232*a(n-10) +233216*a(n-11) -294912*a(n-12) +1916928*a(n-13) -12189696*a(n-14) +14680064*a(n-15) +12582912*a(n-16) -16777216*a(n-17)

%e Some solutions for n=2

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 17 2015