A251315 - OEIS

%I #4 Dec 01 2014 13:43:04

%S 894,6717,48980,361845,2688099,20080487,149982413,1118147932,

%T 8339278058,62282522930,465322296567,3474970062796,25946388026878,

%U 193774924760383,1447385899773104,10810627973172104,80740157829966698,603025339161891324

%N Number of (n+1)X(6+1) 0..1 arrays with no 2X2 subblock having the maximum of its diagonal elements greater than the absolute difference of its antidiagonal elements

%C Column 6 of A251317

%H R. H. Hardin, <a href="/A251315/b251315.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 34*a(n-1) -560*a(n-2) +6078*a(n-3) -48943*a(n-4) +308559*a(n-5) -1566445*a(n-6) +6511537*a(n-7) -22375703*a(n-8) +63785808*a(n-9) -150461053*a(n-10) +290535552*a(n-11) -447421686*a(n-12) +514662450*a(n-13) -349575947*a(n-14) -110030485*a(n-15) +721140799*a(n-16) -1154390677*a(n-17) +1115896183*a(n-18) -601911588*a(n-19) -77410187*a(n-20) +549773049*a(n-21) -654771081*a(n-22) +494568920*a(n-23) -274584584*a(n-24) +121966579*a(n-25) -43228651*a(n-26) +4188852*a(n-27) +11167249*a(n-28) -10337396*a(n-29) +4829526*a(n-30) -1488803*a(n-31) +239091*a(n-32) +47360*a(n-33) -39329*a(n-34) +20491*a(n-35) -7917*a(n-36) +2263*a(n-37) -466*a(n-38) +31*a(n-39) -9*a(n-40) +2*a(n-41) +2*a(n-42) for n>44

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 01 2014