A223739 Number of nX5 0..2 arrays with rows, columns, diagonals and antidiagonals unimodal

86, 7396, 237088, 3868968, 41586328, 340038574, 2289596121, 13281578167, 68222609208, 316008418514, 1337293881157, 5222063556941, 18967899632349, 64513878383831, 206644044321249, 626458582331341, 1805406612393872

Offset

1,1

Comments

Column 5 of A223742

Links

R. H. Hardin, Table of n, a(n) for n = 1..136

Formula

Empirical: a(n) = (63370093/405483668029440000)*n^20 - (268330757/121645100408832000)*n^19 + (13774799/121949975347200)*n^18 - (2424889373/2134124568576000)*n^17 + (18925169/1107025920000)*n^16 + (11462071/62705664000)*n^15 - (29544684331/5021469573120)*n^14 + (20545808232973/188305108992000)*n^13 - (12540957049199/13795246080000)*n^12 + (41582497189459/9656672256000)*n^11 - (2781361848649/61312204800)*n^10 + (2584592276085773/1379524608000)*n^9 - (6240419528063566523/156920924160000)*n^8 + (23876233435912776007/47076277248000)*n^7 - (1929147516259295957/448345497600)*n^6 + (5962644577920598223/237758976000)*n^5 - (66236190322655654183/661620960000)*n^4 + (14575286592197809/53856000)*n^3 - (12552295491184305071/24443218800)*n^2 + (15114021973648951/19399380)*n - 808791295 for n>11

Example

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

Crossrefs

Sequence in context: A319134 A266823 A262471 * A223722 A223828 A223786

Adjacent sequences: A223736 A223737 A223738 * A223740 A223741 A223742

Keyword

nonn

Author

R. H. Hardin Mar 26 2013

Status

approved