A223808 Number of nX4 0..3 arrays with rows, columns, diagonals and antidiagonals unimodal

130, 16900, 825896, 20847008, 342521725, 4146732319, 39816673636, 317796753758, 2176384736806, 13081738670880, 70201100137308, 340874317119700, 1514107865155566, 6208541401894070, 23684173752732531, 84617914222910737

Offset

1,1

Comments

Column 4 of A223811

Links

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

Formula

Empirical: a(n) = (1224989653/34469355651846635520000)*n^24 + (9790897789/8617338912961658880000)*n^23 + (17368054339/449600291111043072000)*n^22 + (6343785587/8515157028618240000)*n^21 + (742042863307/58389648196239360000)*n^20 + (874268046919/4865804016353280000)*n^19 + (340257615613/179266463760384000)*n^18 + (9655773652423/448166159400960000)*n^17 + (216017366507863/1265410332426240000)*n^16 + (127305463223041/105450861035520000)*n^15 + (2176033515218659/198850195095552000)*n^14 + (1092716136330817/41427123978240000)*n^13 + (121113866805425089/515537542840320000)*n^12 + (342583305621940841/105450861035520000)*n^11 - (2450919674438782711/63270516621312000)*n^10 + (11061596378517660259/26362715258880000)*n^9 - (547858838894740099247/192071211171840000)*n^8 + (217452379672611043021/16005934264320000)*n^7 - (15434864255601855529021/425757851430912000)*n^6 - (981113327920619121617/59133034920960000)*n^5 + (97554150097562928884627/162615846032640000)*n^4 - (2213625571607144902901/903421366848000)*n^3 + (32215709819070912077/7420961227680)*n^2 - (118869402789119/74364290)*n - 3422935 for n>8

Example

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

Crossrefs

Sequence in context: A224200 A333900 A224122 * A223758 A223846 A223872

Adjacent sequences: A223805 A223806 A223807 * A223809 A223810 A223811

Keyword

nonn

Author

R. H. Hardin Mar 27 2013

Status

approved