A224176 Number of 5 X n 0..3 arrays with rows, diagonals and antidiagonals unimodal and columns nondecreasing.

56, 3136, 87878, 1460836, 16625026, 143558572, 1012166273, 6125081331, 32894121939, 160366617391, 721130521043, 3026020511079, 11954211905590, 44767125938612, 159803658410914, 546205629183576, 1794213349019225, 5681633554205167, 17388727776795588, 51546300902092728

Offset

1,1

Links

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

R. H. Hardin, Empirical polynomial of degree 30

Formula

Empirical polynomial of degree 30 (see link above).

Example

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

Crossrefs

Row 5 of A224173.

Sequence in context: A205227 A376228 A328352 * A223868 A223990 A224388

Adjacent sequences: A224173 A224174 A224175 * A224177 A224178 A224179

Keyword

nonn

Author

R. H. Hardin, Mar 31 2013

Extensions

Name corrected by Andrew Howroyd, Mar 18 2025

Status

approved