A250937 Number of (n+1)X(3+1) 0..2 arrays with nondecreasing 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

599, 3355, 16208, 71014, 289407, 1115035, 4106983, 14585505, 50276307, 169096201, 557285131, 1805934757, 5771010913, 18228909727, 57028425739, 176997241191, 545747652023, 1673691774773, 5110255560737, 15547067007197, 47161606992989

Offset

1,1

Comments

Column 3 of A250942

Links

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

Formula

Empirical: a(n) = 24*a(n-1) -266*a(n-2) +1806*a(n-3) -8400*a(n-4) +28350*a(n-5) -71722*a(n-6) +138498*a(n-7) -205823*a(n-8) +235410*a(n-9) -205548*a(n-10) +134568*a(n-11) -63952*a(n-12) +20832*a(n-13) -4160*a(n-14) +384*a(n-15) for n>21

Example

Some solutions for n=4
..2..0..1..0....1..2..1..1....1..0..0..2....1..0..2..0....1..0..1..0
..2..1..0..1....1..2..1..1....1..0..0..2....1..0..2..0....1..1..0..2
..2..1..0..1....1..2..1..2....0..1..1..1....0..1..1..2....2..0..2..0
..2..1..0..1....1..2..2..1....1..2..2..0....1..0..2..1....1..1..1..1
..2..1..0..2....1..2..2..1....1..2..2..0....2..1..1..2....1..1..2..0

Crossrefs

Sequence in context: A135847 A106762 A158277 * A261701 A362324 A172244

Adjacent sequences: A250934 A250935 A250936 * A250938 A250939 A250940

Keyword

nonn

Author

R. H. Hardin, Nov 28 2014

Status

approved