A250944 Number of (2+1)X(n+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

125, 699, 3355, 15431, 67595, 287045, 1188599, 4827913, 19308213, 76254749, 298049037, 1154930779, 4442888465, 16986179207, 64600876511, 244577899139, 922363567903, 3466733140929, 12991657380635, 48562243341429

Offset

1,1

Comments

Row 2 of A250942

Links

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

Formula

Empirical: a(n) = 10*a(n-1) -29*a(n-2) -6*a(n-3) +136*a(n-4) -90*a(n-5) -217*a(n-6) +186*a(n-7) +143*a(n-8) -124*a(n-9) -32*a(n-10) +24*a(n-11)

Example

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

Crossrefs

Sequence in context: A045170 A235896 A250634 * A251288 A060093 A253345

Adjacent sequences: A250941 A250942 A250943 * A250945 A250946 A250947

Keyword

nonn

Author

R. H. Hardin, Nov 28 2014

Status

approved