A223841 Number of 5 X n 0..1 arrays with rows, diagonals and antidiagonals unimodal and columns nondecreasing.

6, 36, 149, 471, 1240, 2884, 6159, 12371, 23716, 43790, 78342, 136368, 231677, 385101, 627571, 1004341, 1580713, 2449699, 3742152, 5640008, 8393406, 12342594, 17945687, 25813519, 36753026, 51820812, 72388786, 100224016, 137585227, 187338675, 253096459, 339380689

Offset: 1

Author

R. H. Hardin, Mar 27 2013

Keywords

• nonn

Examples

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

Links

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

Crossrefs

Row 5 of A223838.

Formula

Empirical: a(n) = (1/3628800)*n^10 - (1/241920)*n^9 + (17/120960)*n^8 - (1/13440)*n^7 + (3733/172800)*n^6 - (893/11520)*n^5 + (178931/90720)*n^4 - (188123/60480)*n^3 + (504149/25200)*n^2 - (30581/420)*n + 121 for n>4.

Extensions

Name corrected by Andrew Howroyd, Mar 18 2025