A223641 Number of nX5 0..1 arrays with rows, columns, diagonals and antidiagonals unimodal.

16, 256, 2014, 9808, 36947, 120307, 354726, 967582, 2469396, 5941152, 13555296, 29475566, 61346859, 122671803, 236477826, 440811016, 796753648, 1399853788, 2396080742, 4003682172, 6542620323, 10473608867, 16449161244, 25379498938

Offset: 1

Author

R. H. Hardin Mar 24 2013

Keywords

• nonn

Comments

Column 5 of A223644

Examples

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

Links

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

Formula

Empirical: a(n) = (359/453600)*n^10 - (391/18144)*n^9 + (27901/60480)*n^8 - (5318/945)*n^7 + (220373/5400)*n^6 + (42079/4320)*n^5 - (611182913/181440)*n^4 + (204761033/5670)*n^3 - (1618325179/8400)*n^2 + (680702213/1260)*n - 629380 for n>7