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

1,1

Comments

Column 7 of A223777

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

Example

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

Crossrefs

Sequence in context: A042634 A223769 A224157 * A224408 A120823 A186263

Adjacent sequences: A223773 A223774 A223775 * A223777 A223778 A223779

Keyword

nonn

Author

R. H. Hardin Mar 27 2013

Status

approved