A250695 Number of (4+1)X(n+1) 0..3 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

11736, 76320, 383440, 1670016, 6671458, 25235016, 92169818, 329292956, 1160994284, 4064711976, 14193722396, 49590850136, 173757950350, 611608432408, 2165540377158, 7721145553812, 27744881818344, 100541208763000

Offset

1,1

Comments

Row 4 of A250691

Links

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

Formula

Empirical: a(n) = 30*a(n-1) -415*a(n-2) +3514*a(n-3) -20386*a(n-4) +85924*a(n-5) -272198*a(n-6) +661180*a(n-7) -1244717*a(n-8) +1822478*a(n-9) -2068955*a(n-10) +1802474*a(n-11) -1181760*a(n-12) +563888*a(n-13) -184752*a(n-14) +37152*a(n-15) -3456*a(n-16)

Example

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

Crossrefs

Sequence in context: A346276 A234863 A362200 * A250680 A045307 A229411

Adjacent sequences: A250692 A250693 A250694 * A250696 A250697 A250698

Keyword

nonn

Author

R. H. Hardin, Nov 26 2014

Status

approved