A232939 Number of nX6 0..2 arrays with no element x(i,j) adjacent to value 2-x(i,j) horizontally, vertically or antidiagonally

96, 258, 2360, 18850, 157322, 1294504, 10700160, 88318190, 729295244, 6021446660, 49717871728, 410507714440, 3389459358490, 27985921958788, 231072754052826, 1907910019604876, 15753136243946376, 130069709821883698

Offset

1,1

Comments

Column 6 of A232941

Links

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

Formula

Empirical: a(n) = a(n-1) +42*a(n-2) +147*a(n-3) +70*a(n-4) -478*a(n-5) -449*a(n-6) +1199*a(n-7) +732*a(n-8) -2727*a(n-9) +659*a(n-10) +3827*a(n-11) -5776*a(n-12) +3926*a(n-13) -1152*a(n-14) -148*a(n-15) +154*a(n-16) +32*a(n-17) -29*a(n-18) -6*a(n-19) +3*a(n-20) +a(n-21) for n>22

Example

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

Crossrefs

Sequence in context: A268771 A202898 A202891 * A202591 A202584 A062027

Adjacent sequences: A232936 A232937 A232938 * A232940 A232941 A232942

Keyword

nonn

Author

R. H. Hardin, Dec 02 2013

Status

approved