A231748 Number of nX3 0..2 arrays with no element less than a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors

9, 51, 589, 5106, 41288, 397219, 3745096, 34036486, 313782748, 2927905037, 27164864918, 251564198963, 2335778916642, 21695352159535, 201366887006680, 1869228803618176, 17356005419910937, 161143681489604094

Offset

1,1

Comments

Column 3 of A231753

Links

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

Formula

Empirical: a(n) = 9*a(n-1) -10*a(n-2) +205*a(n-3) -343*a(n-4) -3172*a(n-5) -8106*a(n-6) -19608*a(n-7) -86820*a(n-8) +105508*a(n-9) -250613*a(n-10) +525498*a(n-11) +3710627*a(n-12) +6249063*a(n-13) +11770795*a(n-14) -927423*a(n-15) -28037328*a(n-16) -60164511*a(n-17) -139179633*a(n-18) -217274117*a(n-19) -213592727*a(n-20) -140322482*a(n-21) +154891348*a(n-22) +398534065*a(n-23) +772218755*a(n-24) +811574834*a(n-25) +702028305*a(n-26) +477484534*a(n-27) -54847598*a(n-28) -371753704*a(n-29) -646008553*a(n-30) -754680367*a(n-31) -605925622*a(n-32) -423754908*a(n-33) -245157008*a(n-34) -118738252*a(n-35) -48930960*a(n-36) -12367856*a(n-37) -4600192*a(n-38) -2156032*a(n-39) -279552*a(n-40) for n>41

Example

Some solutions for n=5
..0..0..0....0..1..1....2..0..0....2..0..0....0..0..0....0..0..2....0..1..2
..1..0..1....0..0..0....2..0..0....0..0..2....0..0..0....1..0..0....0..0..1
..0..2..2....2..0..0....0..1..1....0..0..2....0..2..2....1..1..0....0..0..2
..0..0..1....0..0..2....0..0..1....0..0..1....2..0..2....2..0..2....2..0..1
..2..0..0....0..1..1....0..0..1....1..0..0....0..0..0....0..0..0....0..0..0

Crossrefs

Sequence in context: A275861 A210054 A272393 * A181161 A152580 A197722

Adjacent sequences: A231745 A231746 A231747 * A231749 A231750 A231751

Keyword

nonn

Author

R. H. Hardin, Nov 13 2013

Status

approved