A225014 Number of 7Xn 0..1 arrays with rows unimodal and columns nondecreasing

8, 64, 372, 1716, 6672, 22716, 69498, 194634, 505912, 1233584, 2845492, 6251596, 13154948, 26635774, 52097267, 98759971, 181971248, 326703424, 572756312, 982365976, 1651162688, 2723729944, 4415408372, 7042481236, 11063492816

Offset

1,1

Comments

Row 7 of A225010

Links

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

Formula

Empirical: a(n) = (1/87178291200)*n^14 + (1/958003200)*n^13 + (43/958003200)*n^12 + (103/87091200)*n^11 + (1847/87091200)*n^10 + (7891/29030400)*n^9 + (1560493/609638400)*n^8 + (222427/12441600)*n^7 + (2023297/21772800)*n^6 + (1926401/5443200)*n^5 + (29332549/29937600)*n^4 + (1353853/739200)*n^3 + (183490757/75675600)*n^2 + (363/280)*n + 1

Example

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

Crossrefs

Sequence in context: A181480 A223948 A224151 * A228460 A202909 A203437

Adjacent sequences: A225011 A225012 A225013 * A225015 A225016 A225017

Keyword

nonn

Author

R. H. Hardin Apr 23 2013

Status

approved