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

1,1

Comments

Row 5 of A224374

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

Example

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

Crossrefs

Sequence in context: A268975 A223207 A224313 * A233024 A016841 A128833

Adjacent sequences: A224374 A224375 A224376 * A224378 A224379 A224380

Keyword

nonn

Author

R. H. Hardin Apr 05 2013

Status

approved