A223635 Number of nX6 0..1 arrays with rows, antidiagonals and columns unimodal.

22, 484, 5699, 42109, 230619, 1026377, 3907140, 13135511, 39889555, 111242770, 288488044, 702553878, 1619299148, 3555008655, 7473337157, 15110365462, 29495673113, 55765989646, 102405932407, 183099750019, 319441371676

Offset: 1

Author

R. H. Hardin Mar 24 2013

Keywords

• nonn

Comments

Column 6 of A223637

Examples

			Some solutions for n=4
..0..1..1..1..0..0....1..1..1..0..0..0....1..1..1..0..0..0....0..0..0..0..1..1
..0..1..1..1..1..0....1..1..1..0..0..0....0..0..1..1..1..1....0..1..1..1..1..0
..0..1..1..1..0..0....0..1..1..1..0..0....0..0..1..1..1..1....0..1..1..1..1..0
..1..1..1..1..0..0....0..0..1..1..0..0....0..0..0..0..0..1....0..0..1..1..0..0
		

Links

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

Formula

Empirical: a(n) = (271/5443200)*n^12 - (10327/9979200)*n^11 + (61997/2177280)*n^10 - (21923/80640)*n^9 + (417761/1814400)*n^8 + (37222841/604800)*n^7 - (2521405483/2177280)*n^6 + (8668581613/725760)*n^5 - (414044081579/5443200)*n^4 + (88564150211/302400)*n^3 - (17419930607/30240)*n^2 + (542846047/3080)*n + 850576 for n>8