A224161 Number of 5Xn 0..1 arrays with diagonals and rows unimodal and antidiagonals nondecreasing.

32, 324, 900, 1783, 3469, 6786, 13283, 25624, 48339, 88755, 158358, 274636, 463580, 763045, 1227226, 1932567, 2985495, 4532457, 6772837, 9975443, 14499382, 20820285, 29563005, 41542090, 57811531, 79725503, 109012056, 147861974

Offset: 1

Author

R. H. Hardin Mar 31 2013

Keywords

• nonn

Comments

Row 5 of A224158

Examples

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

Links

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

Formula

Empirical: a(n) = (1/3628800)*n^10 - (1/241920)*n^9 + (13/60480)*n^8 - (1/2688)*n^7 + (15793/172800)*n^6 - (10013/11520)*n^5 + (3158927/362880)*n^4 - (461413/12096)*n^3 + (13189843/50400)*n^2 - (797567/840)*n + 2301 for n>6