A224377 Number of 5Xn 0..2 arrays with rows unimodal and antidiagonals nondecreasing.

243, 11664, 132236, 800309, 3607078, 13831334, 48166179, 158023549, 497580715, 1514359253, 4458436636, 12678906115, 34773215421, 91905020703, 234118674737, 575345712656, 1365918264285, 3137981575530, 6988511558308, 15115188591949

Offset: 1

Author

R. H. Hardin Apr 05 2013

Keywords

• nonn

Comments

Row 5 of A224374

Examples

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

Links

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

Formula

Empirical: a(n) = (1/1379196149760000)*n^20 + (1/12538146816000)*n^19 + (467/101624979456000)*n^18 + (223/1302884352000)*n^17 + (67777/14944849920000)*n^16 + (8993/99632332800)*n^15 + (29436877/20922789888000)*n^14 + (26572241/1494484992000)*n^13 + (439786693/2299207680000)*n^12 + (20411147/10948608000)*n^11 + (8076494051/459841536000)*n^10 + (1128125897/6967296000)*n^9 + (3054806701103/2179457280000)*n^8 + (547815604487/53374464000)*n^7 + (2418856630291/41513472000)*n^6 + (950711499611/4790016000)*n^5 + (286543564329947/1323241920000)*n^4 - (4310267256629/5513508000)*n^3 + (49217261945707/48886437600)*n^2 + (184937368403/116396280)*n - 3058 for n>3