A223722 Number of nX5 0..2 arrays with rows, antidiagonals and columns unimodal

86, 7396, 273562, 5537147, 74140718, 733129227, 5733691150, 37151436091, 206162721823, 1004293423046, 4376877826065, 17322507754495, 63011209241684, 212742488020655, 672145108969951, 2000883664124046, 5644951281387772

Offset

1,1

Comments

Column 5 of A223725

Links

R. H. Hardin, Table of n, a(n) for n = 1..187

Formula

Empirical: a(n) = (63370093/405483668029440000)*n^20 + (332923627/121645100408832000)*n^19 + (35260507/365849926041600)*n^18 + (11581079/8208171417600)*n^17 + (1549596019/89669099520000)*n^16 + (13415418209/62768369664000)*n^15 + (11281922929/8369115955200)*n^14 + (42712449023/3766102179840)*n^13 + (170811516793/3762339840000)*n^12 + (464597326061/877879296000)*n^11 - (328969296617/78829977600)*n^10 + (13832782422227/241416806400)*n^9 - (125724812428752281/313841848320000)*n^8 + (25263722436660997/11769069312000)*n^7 - (2160123866746163/269007298560)*n^6 + (37001904714133/1676505600)*n^5 - (815520542725887227/15878903040000)*n^4 + (13936490795992651/102918816000)*n^3 - (17701274883426919/53330659200)*n^2 + (9337885696189/21162960)*n - 143729 for n>5

Example

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

Crossrefs

Sequence in context: A266823 A262471 A223739 * A223828 A223786 A223972

Adjacent sequences: A223719 A223720 A223721 * A223723 A223724 A223725

Keyword

nonn

Author

R. H. Hardin Mar 26 2013

Status

approved