A223917 Number of nX7 0..2 arrays with rows and antidiagonals unimodal and columns nondecreasing.

239, 9503, 140236, 1226491, 7906972, 41334135, 183720802, 715114500, 2489822632, 7881608430, 22979660094, 62362461624, 158897321204, 382876827441, 877788083326, 1924637063386, 4053719944340, 8232970841532, 16176720454482

Offset: 1

Author

R. H. Hardin Mar 29 2013

Keywords

• nonn

Comments

Column 7 of A223918

Examples

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

Links

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

Formula

Empirical: a(n) = (118519/21794572800)*n^14 + (118519/1037836800)*n^13 + (59179/34214400)*n^12 + (1397923/79833600)*n^11 + (117161/870912)*n^10 + (825457/1036800)*n^9 + (584642563/152409600)*n^8 + (98173459/7257600)*n^7 + (34767841/777600)*n^6 + (161988637/1814400)*n^5 + (3918685081/29937600)*n^4 - (1351991/44550)*n^3 - (53319445009/75675600)*n^2 - (347075779/180180)*n + 4742 for n>4