A224313 Number of 5Xn 0..2 arrays with diagonals and rows unimodal and antidiagonals nondecreasing.

243, 11664, 82700, 345875, 1258372, 4420701, 15312504, 51743213, 168153223, 520664883, 1530227559, 4268724974, 11327557052, 28687337144, 69591692782, 162311418316, 365262043261, 795700321817, 1682982694668, 3465433571507

Offset: 1

Author

R. H. Hardin Apr 03 2013

Keywords

• nonn

Comments

Row 5 of A224310

Examples

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

Links

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

Formula

Empirical: a(n) = (1/1379196149760000)*n^20 - (1/137919614976000)*n^19 + (41/33874993152000)*n^18 + (1/426995712000)*n^17 + (88069/104613949440000)*n^16 + (102569/10461394944000)*n^15 + (1648459/2988969984000)*n^14 + (8052547/1494484992000)*n^13 + (615490013/2299207680000)*n^12 - (886807741/229920768000)*n^11 + (219072974333/3218890752000)*n^10 - (466264670551/1609445376000)*n^9 - (4824912304573/2490808320000)*n^8 + (350881754231/4981616640)*n^7 - (289916128775839/373621248000)*n^6 + (131084442677207/20756736000)*n^5 - (232251293325755159/6175128960000)*n^4 + (1510872624234341/8576568000)*n^3 - (2770659376747739/4655851200)*n^2 + (405320158706/285285)*n - 1873744 for n>9