A223738 Number of n X 4 0..2 arrays with rows, columns, diagonals and antidiagonals unimodal.

46, 2116, 42090, 480236, 3868968, 24527068, 129982953, 597438379, 2440360420, 9014646324, 30516683840, 95673407206, 280189387450, 772054552094, 2013904240777, 4999298886201, 11864241181898, 27024721429998

Offset

1,1

Comments

Column 4 of A223742.

Links

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

Formula

Empirical: a(n) = (456419/5230697472000)*n^16 + (165527/653837184000)*n^15 + (6741457/261534873600)*n^14 + (1421311/18681062400)*n^13 + (7617457/4105728000)*n^12 + (19582007/1026432000)*n^11 - (63058463/1828915200)*n^10 + (1056206617/914457600)*n^9 + (19216393349/36578304000)*n^8 - (11500149887/326592000)*n^7 + (100418946673/205286400)*n^6 - (160502953561/51321600)*n^5 + (51589184233711/4036032000)*n^4 - (15461118743597/504504000)*n^3 + (18492215887/672672)*n^2 + (3967393411/90090)*n - 95767 for n>6.

Example

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

Crossrefs

Cf. A223742.

Sequence in context: A170765 A218748 A158752 * A223721 A223827 A223785

Adjacent sequences: A223735 A223736 A223737 * A223739 A223740 A223741

Keyword

nonn

Author

R. H. Hardin, Mar 26 2013

Status

approved