A224003 Number of 5Xn 0..2 arrays with antidiagonals unimodal and rows and diagonals nondecreasing.

243, 4004, 18672, 55333, 132119, 281271, 559188, 1063365, 1958634, 3517866, 6183395, 10657414, 18032067, 29972868, 48972482, 78695853, 124442202, 193754586, 297213549, 449457950, 670483363, 987276552, 1435853472, 2063778077

Offset: 1

Author

R. H. Hardin Mar 30 2013

Keywords

• nonn

Comments

Row 5 of A223999

Examples

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

Links

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

Formula

Empirical: a(n) = (1/86400)*n^10 + (1/5760)*n^9 + (13/3360)*n^8 + (1079/20160)*n^7 + (19031/28800)*n^6 + (35137/5760)*n^5 + (513623/8640)*n^4 + (161053/480)*n^3 + (3838487/2800)*n^2 - (614813/210)*n - 2235 for n>6