A223683 Number of 5Xn 0..1 arrays with rows and antidiagonals unimodal.

32, 1024, 13045, 85663, 384009, 1363639, 4123210, 11062778, 27036251, 61267043, 130398069, 263173867, 507406703, 940062881, 1681523014, 2915323586, 4914979621, 8079822545, 12982166253, 20428540847, 31538210365, 47842720947

Offset: 1

Author

R. H. Hardin Mar 25 2013

Keywords

• nonn

Comments

Row 5 of A223680

Examples

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

Links

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

Formula

Empirical: a(n) = (359/453600)*n^10 + (251/30240)*n^9 + (14533/60480)*n^8 + (583/630)*n^7 + (62303/5400)*n^6 - (4999/1440)*n^5 + (14868751/181440)*n^4 - (1038043/3780)*n^3 + (3156491/8400)*n^2 - (91003/210)*n + 362 for n>2