A223863 Number of nX7 0..3 arrays with rows and antidiagonals unimodal and columns nondecreasing

1163, 165212, 6818350, 144081276, 2030417942, 21476594002, 181330154458, 1271807435844, 7630189031428, 40055722078772, 187351337881293, 792277748611083, 3065939800657297, 10966696897925829, 36566451416331144

Offset

1,1

Comments

Column 7 of A223864

Links

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

Formula

Empirical: a(n) = (3642102403/12772735542927360000)*n^21 + (3642102403/304112751022080000)*n^20 + (5501403851/18246765061324800)*n^19 + (1301866883/246245142528000)*n^18 + (321344829121/4573124075520000)*n^17 + (9671690543/13076743680000)*n^16 + (48483224873/7604629401600)*n^15 + (4261834903427/94152554496000)*n^14 + (1535291055316393/5649153269760000)*n^13 + (98414490687917/72425041920000)*n^12 + (170390859823/29561241600)*n^11 + (33527325663863/1609445376000)*n^10 + (2567156664752496221/39544072888320000)*n^9 + (78187026472193263/470762772480000)*n^8 + (8882688677555591/28245766348800)*n^7 + (112344931028903/452656512000)*n^6 - (18857407511117083/95273418240000)*n^5 - (193916745450429061/55576160640000)*n^4 - (232978788696097/75811583232)*n^3 + (3865849954293617/293318625600)*n^2 + (834897119951/9699690)*n - 164695 for n>6

Example

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

Crossrefs

Sequence in context: A236814 A152307 A224172 * A223986 A224063 A224049

Adjacent sequences: A223860 A223861 A223862 * A223864 A223865 A223866

Keyword

nonn

Author

R. H. Hardin Mar 28 2013

Status

approved