A251162 - OEIS

%I #4 Nov 30 2014 12:52:31

%S 2658,32083,231618,1452052,10194430,77352519,572903455,4142817734,

%T 30044582531,219357013930,1601638223039,11674417162603,85078077007837,

%U 620268051744714,4522530953490649,32971746686929047,240374363857435600

%N Number of (n+1)X(3+1) 0..3 arrays with no 2X2 subblock having the maximum of its diagonal elements greater than the absolute difference of its antidiagonal elements

%C Column 3 of A251167

%H R. H. Hardin, <a href="/A251162/b251162.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 40*a(n-1) -777*a(n-2) +9876*a(n-3) -92836*a(n-4) +688911*a(n-5) -4197028*a(n-6) +21529926*a(n-7) -94609505*a(n-8) +360498992*a(n-9) -1201756557*a(n-10) +3528391066*a(n-11) -9170786540*a(n-12) +21184210570*a(n-13) -43619014595*a(n-14) +80220794770*a(n-15) -131920219154*a(n-16) +193940347777*a(n-17) -254358858212*a(n-18) +296008429890*a(n-19) -302085265037*a(n-20) +263449702075*a(n-21) -184026940972*a(n-22) +81195353766*a(n-23) +19666514488*a(n-24) -94501833961*a(n-25) +129703718913*a(n-26) -126554134198*a(n-27) +98516121888*a(n-28) -63072286138*a(n-29) +33347146563*a(n-30) -14400184186*a(n-31) +4932964603*a(n-32) -1275265119*a(n-33) +277977977*a(n-34) -152123381*a(n-35) +157713581*a(n-36) -112301082*a(n-37) +45110094*a(n-38) -4152155*a(n-39) -5558636*a(n-40) +2510784*a(n-41) +248249*a(n-42) -591587*a(n-43) +200388*a(n-44) +3142*a(n-45) -23443*a(n-46) +7568*a(n-47) -736*a(n-48) -149*a(n-49) +48*a(n-50) -4*a(n-51) for n>54

%e Some solutions for n=2

%e ..1..0..0..1....0..1..1..3....0..0..0..3....1..2..3..3....2..0..0..3

%e ..3..3..0..1....0..0..1..2....3..3..0..3....0..0..0..3....3..0..0..2

%e ..0..3..3..2....3..0..0..0....0..3..0..2....3..3..1..1....3..3..1..0

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 30 2014