A224358 Number of 7Xn 0..2 arrays with diagonals and antidiagonals unimodal and rows nondecreasing.

2187, 279936, 2710892, 11704964, 37433596, 107694133, 300892325, 834305212, 2288859662, 6150132424, 16041429234, 40392369273, 97941685953, 228592108824, 513973817853, 1114992467592, 2338135911280, 4749060805124, 9361861348424

Offset: 1

Author

R. H. Hardin Apr 04 2013

Keywords

• nonn

Comments

Row 7 of A224353

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
..0..0..2....0..0..2....0..0..1....0..1..2....0..1..1....0..1..1....0..1..1
..0..0..2....0..1..1....0..0..2....0..0..0....0..1..2....0..0..1....0..0..0
..0..0..0....0..1..2....0..2..2....0..0..1....0..0..0....0..1..2....0..0..0
..0..0..2....0..0..1....0..2..2....0..1..1....0..0..2....1..1..2....0..2..2
..0..0..1....0..1..1....0..0..1....0..0..2....2..2..2....1..1..1....0..0..1
..0..1..1....1..1..2....0..2..2....0..2..2....0..1..1....0..1..2....0..0..2
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..116

Formula

Empirical: a(n) = (118519/21794572800)*n^14 + (2257/124540416)*n^13 + (126449/119750400)*n^12 + (175069/21772800)*n^11 + (49727/544320)*n^10 + (1018841/1451520)*n^9 + (447386489/76204800)*n^8 + (2968546327/21772800)*n^7 - (29364148727/21772800)*n^6 + (37983445967/2177280)*n^5 - (4238661826723/59875200)*n^4 + (1152210830677/3326400)*n^3 - (7620593288311/18918900)*n^2 + (1232004733/910)*n - 8483920 for n>9