A250990 Number of (n+1)X(4+1) 0..2 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction

2359, 16993, 104674, 590305, 3184615, 16694358, 86049801, 438901153, 2225675881, 11253642389, 56849970930, 287280128864, 1453275978174, 7362598702680, 37362019821169, 189912890923385, 966879734108635, 4929811135712749

Offset

1,1

Comments

Column 4 of A250994

Links

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

Formula

Empirical: a(n) = 40*a(n-1) -711*a(n-2) +7288*a(n-3) -46124*a(n-4) +170834*a(n-5) -219426*a(n-6) -1129470*a(n-7) +6427220*a(n-8) -11035580*a(n-9) -13723956*a(n-10) +91974432*a(n-11) -109618290*a(n-12) -189629820*a(n-13) +631396258*a(n-14) -183068484*a(n-15) -1390999379*a(n-16) +1537747960*a(n-17) +1495223679*a(n-18) -3261884392*a(n-19) -533559434*a(n-20) +3951765978*a(n-21) -543629952*a(n-22) -3192470270*a(n-23) +771907136*a(n-24) +1839709820*a(n-25) -380849348*a(n-26) -760753072*a(n-27) +49931112*a(n-28) +204082032*a(n-29) +26598976*a(n-30) -24620992*a(n-31) -8837760*a(n-32) -866304*a(n-33)

Example

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

Crossrefs

Sequence in context: A134649 A135377 A081208 * A269483 A187238 A247923

Adjacent sequences: A250987 A250988 A250989 * A250991 A250992 A250993

Keyword

nonn

Author

R. H. Hardin, Nov 29 2014

Status

approved