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

Author

R. H. Hardin Mar 30 2013

Keywords

• nonn

Comments

Column 5 of A224024

Examples

			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
		

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) [phone]*a(n-11) [phone]*a(n-12) [phone]*a(n-13) [phone]*a(n-14) [phone]*a(n-15) [phone]*a(n-16) [phone]*a(n-17) -1275168*a(n-18) [phone]*a(n-19)