A224005 Number of 7Xn 0..2 arrays with antidiagonals unimodal and rows and diagonals nondecreasing.

2187, 102069, 739672, 2743444, 7400832, 16795265, 34534687, 67029572, 125640165, 230434296, 416688642, 746070578, 1325631005, 2339607173, 4101879980, 7141164265, 12337189420, 21134985710, 35876879602, 60309132371, 100343859256

Offset: 1

Author

R. H. Hardin Mar 30 2013

Keywords

• nonn

Comments

Row 7 of A223999

Examples

			Some solutions for n=3
..0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0
..1..1..1....0..0..1....0..0..1....0..1..1....0..1..1....1..2..2....1..2..2
..0..1..2....0..0..1....0..1..1....1..2..2....0..1..2....0..2..2....0..1..2
..0..2..2....0..1..1....0..1..2....0..1..2....0..1..1....1..1..2....0..1..1
..0..0..2....1..1..2....1..1..2....1..1..1....0..0..2....0..1..1....0..0..2
..0..1..2....0..1..2....0..1..2....0..1..2....0..0..2....0..2..2....0..0..2
..0..0..2....0..1..1....0..1..1....0..2..2....0..2..2....2..2..2....0..2..2
		

Links

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

Formula

Empirical: a(n) = (1/203212800)*n^14 + (1/29030400)*n^13 + (817/319334400)*n^12 + (2627/63866880)*n^11 + (8279/9676800)*n^10 + (408523/29030400)*n^9 + (46918247/203212800)*n^8 + (17877667/5806080)*n^7 + (73580257/1814400)*n^6 + (1465470497/3628800)*n^5 + (385797089/100800)*n^4 + (7741678111/362880)*n^3 + (387997970341/3880800)*n^2 - (400735465/1386)*n - 1233287 for n>10