A223776 Number of nX7 0..1 arrays with rows and columns unimodal and antidiagonals nondecreasing.

29, 267, 1269, 4246, 11635, 28346, 64256, 138913, 290180, 589799, 1170809, 2274787, 4331570, 8091182, 14838137, 26733456, 47351379, 82508140, 141522193, 239102564, 398139077, 653770622, 1059242178, 1694236163, 2676588670, 4178587937

Offset: 1

Author

R. H. Hardin Mar 27 2013

Keywords

• nonn

Comments

Column 7 of A223777

Examples

			Some solutions for n=3
..0..1..0..0..0..0..0....0..0..0..0..1..1..0....0..0..0..0..0..0..0
..1..1..1..1..1..1..0....0..0..0..1..1..1..0....0..0..0..0..1..1..1
..1..1..1..1..1..1..0....0..0..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 + (1/106444800)*n^12 + (53/319334400)*n^11 + (409/87091200)*n^10 + (1681/29030400)*n^9 + (862999/609638400)*n^8 - (56411/29030400)*n^7 + (3673639/14515200)*n^6 - (4250857/7257600)*n^5 + (1960444733/119750400)*n^4 - (326164913/4989600)*n^3 + (89807927381/151351200)*n^2 - (113103797/51480)*n + 3030 for n>4