A224020 Number of nX4 0..3 arrays with rows nondecreasing and antidiagonals unimodal

35, 1225, 32523, 772683, 17735200, 403836633, 9186127249, 208983591829, 4754911670136, 108190494364824, 2461721043138176, 56012981686098087, 1274495739407259502, 28999333370466443973, 659838457829407289280

Offset

1,1

Comments

Column 4 of A224024

Links

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

Formula

Empirical: a(n) = 35*a(n-1) -347*a(n-2) +1689*a(n-3) -2986*a(n-4) -2311*a(n-5) +23532*a(n-6) -23864*a(n-7) -36468*a(n-8) +100464*a(n-9) +94080*a(n-10)

Example

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

Crossrefs

Sequence in context: A095153 A223989 A224387 * A009979 A238379 A158733

Adjacent sequences: A224017 A224018 A224019 * A224021 A224022 A224023

Keyword

nonn

Author

R. H. Hardin Mar 30 2013

Status

approved