A251070 - OEIS

%I #4 Nov 29 2014 18:21:15

%S 603249,53420941,2295692500,59730054958,1074828860950,14586457826568,

%T 158459225199843,1438345592749563,11262667082878011,77955382269477591,

%U 486144099858517720,2773348881006958482,14652680790738269388

%N Number of (6+1)X(n+1) 0..2 arrays with no 2X2 subblock having x11-x00 less than x10-x01

%C Row 6 of A251065

%H R. H. Hardin, <a href="/A251070/b251070.txt">Table of n, a(n) for n = 1..161</a>

%F Empirical: a(n) = 54*a(n-1) -1415*a(n-2) +23974*a(n-3) -295254*a(n-4) +2817284*a(n-5) -21678746*a(n-6) +138254820*a(n-7) -745316011*a(n-8) +3447034866*a(n-9) -13834232709*a(n-10) +48614657106*a(n-11) -150656014780*a(n-12) +414097162056*a(n-13) -1014176290796*a(n-14) +2221347737720*a(n-15) -4363840446855*a(n-16) +7706089982650*a(n-17) -12252214598305*a(n-18) +17557946445930*a(n-19) -22690783744310*a(n-20) +26446083771140*a(n-21) -27784984063050*a(n-22) +26288833753540*a(n-23) -22365628155565*a(n-24) +17073173365086*a(n-25) -11661425586419*a(n-26) +7101248506590*a(n-27) -3837974850264*a(n-28) +1830634514544*a(n-29) -765183707024*a(n-30) +277799914656*a(n-31) -86611909120*a(n-32) +22851076096*a(n-33) -5002450176*a(n-34) +884232704*a(n-35) -121255936*a(n-36) +12103680*a(n-37) -782336*a(n-38) +24576*a(n-39)

%e Some solutions for n=1

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

%e ..0..1....0..0....1..2....0..1....0..0....0..2....1..1....0..1....0..2....1..1

%e ..1..1....0..2....0..2....1..0....2..2....1..0....0..0....0..2....2..2....2..2

%e ..0..0....0..2....2..2....0..1....0..0....0..2....1..2....0..2....1..1....1..2

%e ..0..1....0..0....0..1....0..1....0..1....0..1....1..2....2..2....0..1....1..2

%e ..0..1....0..0....1..2....0..1....2..1....0..2....0..0....0..1....2..2....0..1

%e ..1..1....1..1....0..1....1..2....0..1....1..1....0..2....1..2....0..0....0..2

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 29 2014