A224412 Number of 5Xn 0..1 arrays with rows unimodal and antidiagonals nondecreasing.

32, 324, 1288, 3436, 7812, 16420, 32814, 63202, 118117, 214919, 381436, 661132, 1120283, 1857749, 3018052, 4808608, 7522116, 11565280, 17495232, 26065236, 38281486, 55473066, 79377418, 112243966, 156958871, 217194245, 297585532

Offset: 1

Author

R. H. Hardin Apr 05 2013

Keywords

• nonn

Comments

Row 5 of A224409

Examples

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

Links

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

Formula

Empirical: a(n) = (1/3628800)*n^10 + (1/80640)*n^9 + (1/3456)*n^8 + (23/5760)*n^7 + (7213/172800)*n^6 + (683/2304)*n^5 + (138869/36288)*n^4 + (32143/2240)*n^3 + (32909/450)*n^2 - (753/20)*n - 44 for n>3