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A224264 Number of 4Xn 0..2 arrays with rows and antidiagonals unimodal and columns nondecreasing 1
15, 225, 2017, 12467, 59855, 240829, 850875, 2717731, 8000608, 22004896, 57114321, 140968221, 332855049, 755508149, 1654943378, 3509994992, 7227765020, 14484196632, 28304567857, 54032736159, 100918573991, 184671328897 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 4 of A224262

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 + (71/9340531200)*n^14 + (341/3396556800)*n^13 + (70619/28740096000)*n^12 + (6403/186624000)*n^11 + (29921/65318400)*n^10 + (938611/261273600)*n^9 + (179393437/5225472000)*n^8 + (211646789/1306368000)*n^7 + (955811279/1437004800)*n^6 + (152465767/51321600)*n^5 - (11075280679/15567552000)*n^4 - (274011991/117936000)*n^3 + (8155853/123552)*n^2 - (184217/936)*n + 242 for n>2

EXAMPLE

Some solutions for n=3

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

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

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

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

CROSSREFS

Sequence in context: A207738 A221966 A208080 * A223921 A224191 A224349

Adjacent sequences:  A224261 A224262 A224263 * A224265 A224266 A224267

KEYWORD

nonn

AUTHOR

R. H. Hardin Apr 02 2013

STATUS

approved

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Last modified July 5 15:05 EDT 2022. Contains 355099 sequences. (Running on oeis4.)