A250540 Number of (n+1)X(4+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)-x(i-1,j) in the j direction

36552, 491650, 4169584, 27240292, 151170400, 752602024, 3475227442, 15210145612, 64036997144, 262068107390, 1050500245716, 4148232147580, 16207817815736, 62874459765364, 242824935032646, 935658630855012

Offset

1,1

Comments

Column 4 of A250544

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=1
..2..3..0..1..1....0..2..0..0..0....3..1..2..0..2....3..1..2..2..0
..1..2..0..3..3....0..2..0..3..3....0..0..2..0..3....0..1..2..2..2

Crossrefs

Sequence in context: A204967 A011771 A011770 * A251797 A143369 A203939

Adjacent sequences: A250537 A250538 A250539 * A250541 A250542 A250543

Keyword

nonn

Author

R. H. Hardin, Nov 24 2014

Status

approved