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

1,1

Comments

Row 5 of A224310

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

Example

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

Crossrefs

Sequence in context: A059860 A268975 A223207 * A224377 A233024 A016841

Adjacent sequences: A224310 A224311 A224312 * A224314 A224315 A224316

Keyword

nonn

Author

R. H. Hardin Apr 03 2013

Status

approved