A224356 Number of 5Xn 0..2 arrays with diagonals and antidiagonals unimodal and rows nondecreasing.

243, 7776, 45064, 160362, 495985, 1421762, 3816783, 9630357, 22913143, 51614480, 110565824, 226229854, 443991585, 839005884, 1531899199, 2710956117, 4662807601, 7814081454, 12786980756, 20472326754, 32124242991, 49481371374

Offset: 1

Author

R. H. Hardin Apr 04 2013

Keywords

• nonn

Comments

Row 5 of A224353

Examples

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

Links

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

Formula

Empirical: a(n) = (1009/907200)*n^10 + (1489/181440)*n^9 + (7699/60480)*n^8 + (26497/30240)*n^7 + (234967/43200)*n^6 + (430969/8640)*n^5 - (23036177/181440)*n^4 + (81980567/45360)*n^3 - (18258277/8400)*n^2 + (3586529/630)*n - 10675 for n>5