A224395 Number of 6Xn 0..3 arrays with diagonals and antidiagonals unimodal and rows nondecreasing

4096, 1000000, 18794636, 152271025, 879830242, 4364554008, 19879000458, 84675848787, 337896379016, 1262027034092, 4414609771988, 14497401758306, 44849313719663, 131213360082438, 364483316826362, 964981060109623

Offset

1,1

Comments

Row 6 of A224391

Links

R. H. Hardin, Table of n, a(n) for n = 1..96

Formula

Empirical: a(n) = (42587101/1600593426432000)*n^18 + (83940121/177843714048000)*n^17 + (351548291/31384184832000)*n^16 + (404522743/2615348736000)*n^15 + (2603179801/1426553856000)*n^14 + (13975516589/747242496000)*n^13 + (1018677008761/3621252096000)*n^12 - (71772294491/67060224000)*n^11 + (9590385658061/219469824000)*n^10 - (19294207174217/73156608000)*n^9 + (6061000683461531/2414168064000)*n^8 - (67636294337629/7185024000)*n^7 + (580563104944166119/11769069312000)*n^6 + (14843452118300317/653837184000)*n^5 - (42702408306785177/59439744000)*n^4 + (14422633437701933/3027024000)*n^3 - (272645035897423741/15437822400)*n^2 + (10375478018905/1225224)*n + 82732433 for n>10

Example

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

Crossrefs

Sequence in context: A321820 A236218 A016962 * A224028 A269206 A183816

Adjacent sequences: A224392 A224393 A224394 * A224396 A224397 A224398

Keyword

nonn

Author

R. H. Hardin Apr 05 2013

Status

approved