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A223929 Number of nX4 0..2 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing 1
46, 698, 4498, 21334, 86439, 316136, 1065625, 3337831, 9773219, 26903878, 70024867, 173255292, 409514526, 928832014, 2029581476, 4287303027, 8781854785, 17488776976, 33939319272, 64311697250, 119202262153, 216450903569 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A223933

LINKS

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

FORMULA

Empirical: a(n) = (1/106748928000)*n^16 + (1/13343616000)*n^15 + (1/116756640)*n^14 + (4003/37362124800)*n^13 + (97199/28740096000)*n^12 + (670871/14370048000)*n^11 + (94057/130636800)*n^10 - (113957/261273600)*n^9 + (565001317/5225472000)*n^8 - (887457691/1306368000)*n^7 + (3190047029/359251200)*n^6 - (36838723231/718502400)*n^5 + (4745796217531/15567552000)*n^4 - (170787179737/162162000)*n^3 + (51300697729/21621600)*n^2 - (74839579/180180)*n - 7017 for n>6

EXAMPLE

Some solutions for n=3

..2..2..0..0....1..2..0..0....0..2..2..2....0..1..1..0....1..2..1..0

..0..2..2..1....1..2..2..2....0..0..2..2....0..0..2..1....1..1..2..1

..0..0..2..2....1..2..2..2....0..0..0..2....0..0..0..2....0..1..2..2

CROSSREFS

Sequence in context: A200898 A160151 A278204 * A224053 A224306 A224370

Adjacent sequences:  A223926 A223927 A223928 * A223930 A223931 A223932

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 29 2013

STATUS

approved

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Last modified October 1 06:15 EDT 2022. Contains 357134 sequences. (Running on oeis4.)