A223915 Number of nX5 0..2 arrays with rows and antidiagonals unimodal and columns nondecreasing

86, 1600, 13347, 74040, 319156, 1147712, 3588729, 10031780, 25574524, 60357024, 133401811, 278664144, 554222764, 1055811684, 1936212233, 3432395716, 5902734700, 9877089124, 16123126195, 25732854408, 40234046052, 61731993272

Offset

1,1

Comments

Column 5 of A223918

Links

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

Formula

Empirical: a(n) = (1009/907200)*n^10 + (1009/60480)*n^9 + (4919/30240)*n^8 + (293/288)*n^7 + (196597/43200)*n^6 + (35317/2880)*n^5 + (1341229/45360)*n^4 + (115123/3024)*n^3 + (38483/3150)*n^2 - (868/15)*n + 4 for n>2

Example

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

Crossrefs

Sequence in context: A242092 A232859 A224259 * A224187 A223930 A224054

Adjacent sequences: A223912 A223913 A223914 * A223916 A223917 A223918

Keyword

nonn

Author

R. H. Hardin Mar 29 2013

Status

approved