A223828 Number of nX5 0..2 arrays with rows and columns unimodal

86, 7396, 310396, 7291180, 111026387, 1215505987, 10278415020, 70637615542, 409495177832, 2059270878998, 9178828735664, 36883354080922, 135437433227956, 459525932946746, 1453793476211931, 4321377067061981, 12146690423924810

Offset

1,1

Comments

Column 5 of A223831

Links

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

Formula

Empirical: a(n) = (63370093/405483668029440000)*n^20 + (71859847/9357315416064000)*n^19 + (33442223/166295420928000)*n^18 + (7404500641/2134124568576000)*n^17 + (27079914203/627683696640000)*n^16 + (25382116619/62768369664000)*n^15 + (28390454557/9656672256000)*n^14 + (289526123249/17118646272000)*n^13 + (3238876266163/41385738240000)*n^12 + (2848501575259/9656672256000)*n^11 + (17668229482801/19313344512000)*n^10 + (22667715892433/9656672256000)*n^9 + (5949755731841/1188794880000)*n^8 + (32017686101257/3621252096000)*n^7 + (12478274965523/960740352000)*n^6 + (13604598171413/871782912000)*n^5 + (866466410064373/55576160640000)*n^4 + (13639237471/1122750720)*n^3 + (178704902203/22562971200)*n^2 + (15738662/4849845)*n + 1

Example

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

Crossrefs

Sequence in context: A262471 A223739 A223722 * A223786 A223972 A321011

Adjacent sequences: A223825 A223826 A223827 * A223829 A223830 A223831

Keyword

nonn

Author

R. H. Hardin Mar 27 2013

Status

approved