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A223922 Number of 5Xn 0..2 arrays with rows and antidiagonals unimodal and columns nondecreasing 1
21, 441, 5548, 48182, 319156, 1721356, 7906972, 31947798, 116289938, 388293504, 1205901516, 3520937666, 9746278721, 25746339006, 65246565981, 159287861727, 375892787585, 859832700375, 1910938878762, 4134527627922, 8723666100444 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 5 of A223918

LINKS

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

FORMULA

Empirical: a(n) = (1/1379196149760000)*n^20 + (1/27583922995200)*n^19 + (67/43553562624000)*n^18 + (2203/50812489728000)*n^17 + (35813/34871316480000)*n^16 + (4723/232475443200)*n^15 + (2458331/6974263296000)*n^14 + (8083259/1494484992000)*n^13 + (508218079/6897623040000)*n^12 + (34902853/45984153600)*n^11 + (6145973531/1072963584000)*n^10 + (1981076359/59609088000)*n^9 + (981368164559/6538371840000)*n^8 + (7803754241/14944849920)*n^7 + (1568765927873/1120863744000)*n^6 + (533988456371/186810624000)*n^5 + (40563025942379/9262693440000)*n^4 + (15131959121/3087564480)*n^3 + (22082097187/5431826400)*n^2 + (196063237/116396280)*n + 1

EXAMPLE

Some solutions for n=3

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

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

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

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

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

CROSSREFS

Sequence in context: A224265 A206886 A188770 * A224350 A224192 A207184

Adjacent sequences:  A223919 A223920 A223921 * A223923 A223924 A223925

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 29 2013

STATUS

approved

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Last modified January 20 08:18 EST 2020. Contains 331081 sequences. (Running on oeis4.)