A224151 Number of 7Xn 0..1 arrays with rows and antidiagonals unimodal and columns nondecreasing.

8, 64, 357, 1536, 5471, 16885, 46586, 117510, 275557, 608423, 1277544, 2571226, 4991541, 9394324, 17211567, 30799955, 53979914, 92858530, 157069847, 261620888, 429605663, 696147855, 1114062432, 1761895136, 2755216271, 4262322913

Offset: 1

Author

R. H. Hardin Mar 31 2013

Keywords

• nonn

Comments

Row 7 of A224146

Examples

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

Links

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

Formula

Empirical: a(n) = (1/87178291200)*n^14 + (1/4151347200)*n^13 + (1/136857600)*n^12 + (19/106444800)*n^11 + (53/12441600)*n^10 + (121/1382400)*n^9 + (1007857/609638400)*n^8 + (427321/29030400)*n^7 + (5519/62208)*n^6 + (217709/604800)*n^5 + (8736011/8553600)*n^4 + (1790117/950400)*n^3 + (90367957/37837800)*n^2 + (49717/40040)*n + 1