A253834 - OEIS

%I #4 Jan 16 2015 13:06:11

%S 512,2440,8392,28540,91296,263476,709704,1850176,4685448,11503856,

%T 27555888,64844988,150302032,343468420,775467312,1733465848,

%U 3842018112,8449339760,18454984816,40069666364,86552091560,186078959996

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

%C Column 1 of A253841

%H R. H. Hardin, <a href="/A253834/b253834.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) -22*a(n-2) +14*a(n-3) +79*a(n-4) -364*a(n-5) +811*a(n-6) -582*a(n-7) -1594*a(n-8) +6008*a(n-9) -11237*a(n-10) +9484*a(n-11) +10056*a(n-12) -43760*a(n-13) +77100*a(n-14) -77040*a(n-15) -2560*a(n-16) +136000*a(n-17) -257920*a(n-18) +300160*a(n-19) -156864*a(n-20) -105728*a(n-21) +335552*a(n-22) -473344*a(n-23) +388096*a(n-24) -162816*a(n-25) -10496*a(n-26) +136192*a(n-27) -132096*a(n-28) +49152*a(n-29) -12288*a(n-30) -16384*a(n-31) +16384*a(n-32) for n>33

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 16 2015