A224021 Number of nX5 0..3 arrays with rows nondecreasing and antidiagonals unimodal

56, 3136, 122523, 4002738, 120352359, 3491241557, 99853876444, 2841637297963, 80738139650660, 2292943314015674, 65111906248932329, 1848921234461230235, 52501963543862778240, 1490846712885812140128, 42334133889896297673617

Offset

1,1

Comments

Column 5 of A224024

Links

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

Formula

Empirical: a(n) = 56*a(n-1) -1098*a(n-2) +10776*a(n-3) -59038*a(n-4) +197135*a(n-5) -527776*a(n-6) +1780117*a(n-7) -5020078*a(n-8) +3603978*a(n-9) -19091082*a(n-10) +61460622*a(n-11) +49090018*a(n-12) +274177128*a(n-13) +105163104*a(n-14) +354022404*a(n-15) +28705280*a(n-16) +147891456*a(n-17) -1275168*a(n-18) +15980544*a(n-19)

Example

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

Crossrefs

Sequence in context: A223868 A223990 A224388 * A042513 A264941 A358115

Adjacent sequences: A224018 A224019 A224020 * A224022 A224023 A224024

Keyword

nonn

Author

R. H. Hardin Mar 30 2013

Status

approved