A251162 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

2658, 32083, 231618, 1452052, 10194430, 77352519, 572903455, 4142817734, 30044582531, 219357013930, 1601638223039, 11674417162603, 85078077007837, 620268051744714, 4522530953490649, 32971746686929047, 240374363857435600

Offset

1,1

Comments

Column 3 of A251167

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

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

Example

Some solutions for n=2
..1..0..0..1....0..1..1..3....0..0..0..3....1..2..3..3....2..0..0..3
..3..3..0..1....0..0..1..2....3..3..0..3....0..0..0..3....3..0..0..2
..0..3..3..2....3..0..0..0....0..3..0..2....3..3..1..1....3..3..1..0

Crossrefs

Sequence in context: A235750 A235813 A225023 * A217440 A235733 A235514

Adjacent sequences: A251159 A251160 A251161 * A251163 A251164 A251165

Keyword

nonn

Author

R. H. Hardin, Nov 30 2014

Status

approved