A223721 Number of nX4 0..2 arrays with rows, antidiagonals and columns unimodal.

46, 2116, 46613, 608855, 5537147, 38566854, 218619076, 1051051942, 4413826871, 16548850432, 56334327215, 176427795883, 513754867486, 1403147317562, 3620163947216, 8876634938318, 20791393840502, 46723393566999

Offset: 1

Author

R. H. Hardin Mar 26 2013

Keywords

• nonn

Comments

Column 4 of A223725

Examples

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

Links

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

Formula

Empirical: a(n) = (456419/5230697472000)*n^16 + (299363/186810624000)*n^15 + (8437981/261534873600)*n^14 + (678959/1868106240)*n^13 + (91942579/28740096000)*n^12 + (161673031/7185024000)*n^11 + (203867119/1828915200)*n^10 + (37055/81648)*n^9 + (59612358509/36578304000)*n^8 + (2850286193/1306368000)*n^7 + (7237625987/718502400)*n^6 + (573765127/143700480)*n^5 - (109277252779/4036032000)*n^4 + (59181202013/216216000)*n^3 - (12927784033/16816800)*n^2 + (36815651/36036)*n - 470 for n>2