A224378 Number of 6Xn 0..2 arrays with rows unimodal and antidiagonals nondecreasing

729, 69984, 1126072, 8297747, 42132769, 174854516, 644368221, 2212959866, 7296488462, 23473954511, 74124038709, 229565868000, 694675751863, 2045339262040, 5840640774160, 16145608364197, 43177424328109

Offset

1,1

Comments

Row 6 of A224374

Links

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

Formula

Empirical: a(n) = (1/35608838483312640000)*n^24 + (1/228261785149440000)*n^23 + (2993/8515157028618240000)*n^22 + (1189/64508765368320000)*n^21 + (565139/810967336058880000)*n^20 + (50213/2502985605120000)*n^19 + (102275011/224083079700480000)*n^18 + (630450937/74694359900160000)*n^17 + (6860509793/52725430517760000)*n^16 + (7572768857/4393785876480000)*n^15 + (1975549547/96566722560000)*n^14 + (5979889787/26153487360000)*n^13 + (129750858133763/52725430517760000)*n^12 + (8852225741519/337983528960000)*n^11 + (1757155928198569/6590678814720000)*n^10 + (11208897154284701/4393785876480000)*n^9 + (15905213251807771/762187345920000)*n^8 + (60693804091491173/444609285120000)*n^7 + (56813409423945822743/88699552381440000)*n^6 + (45278410760324474101/29566517460480000)*n^5 - (4851359450955021973/4927752910080000)*n^4 - (59510428654061699/5133075948000)*n^3 + (926682017129053/38440617600)*n^2 + (89190882279703/5354228880)*n - 49724 for n>4

Example

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

Crossrefs

Sequence in context: A005608 A233025 A224314 * A223479 A223503 A232947

Adjacent sequences: A224375 A224376 A224377 * A224379 A224380 A224381

Keyword

nonn

Author

R. H. Hardin Apr 05 2013

Status

approved