%I #5 Mar 31 2012 12:37:24
%S 32,2048,67228,2587924,96373248,3613193828,135288700496,5066922301172,
%T 189760457060980,7106753308593540,266155856593675476,
%U 9967837469474701148,373306752240786865244,13980758919336720329676,523595189388352085042024
%N Number of 6Xn 0..1 arrays with new values 0..1 introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors
%C Row 6 of A208709
%H R. H. Hardin, <a href="/A208713/b208713.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 33*a(n-1) +263*a(n-2) -3223*a(n-3) -18036*a(n-4) +125510*a(n-5) +521961*a(n-6) -2559903*a(n-7) -7083315*a(n-8) +29279065*a(n-9) +41849338*a(n-10) -177571622*a(n-11) -69714760*a(n-12) +472051228*a(n-13) -17024841*a(n-14) -616904041*a(n-15) +139939476*a(n-16) +429455960*a(n-17) -134077368*a(n-18) -166807014*a(n-19) +56749363*a(n-20) +37221787*a(n-21) -12479641*a(n-22) -4662939*a(n-23) +1470709*a(n-24) +288889*a(n-25) -88672*a(n-26) -5330*a(n-27) +2180*a(n-28) -112*a(n-29) for n>33
%e Some solutions for n=4
%e ..0..1..0..1....0..1..1..1....0..0..0..0....0..1..1..0....0..0..0..1
%e ..0..0..1..0....1..0..1..1....0..1..0..1....1..0..1..1....0..1..0..0
%e ..1..1..1..0....1..1..0..1....0..1..1..0....0..1..0..1....1..1..0..0
%e ..0..1..1..0....1..1..0..1....1..0..0..1....0..0..1..1....0..0..1..1
%e ..1..0..0..1....0..1..1..0....1..0..0..1....1..0..0..1....0..1..0..1
%e ..1..0..1..1....0..0..1..1....0..1..1..1....0..1..1..1....1..0..1..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Mar 01 2012
|