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A224189 Number of nX7 0..2 arrays with rows unimodal and columns nondecreasing 1
239, 9503, 165212, 1727738, 12741432, 72710554, 340780382, 1366188661, 4823267213, 15322738603, 44529268480, 119909493132, 302279622352, 719306742780, 1626780581324, 3516536949577, 7300336446323, 14614022023815 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 7 of A224190

LINKS

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

FORMULA

Empirical: a(n) = (118519/21794572800)*n^14 + (93527/444787200)*n^13 + (6343/1710720)*n^12 + (9456619/239500800)*n^11 + (1028647/3628800)*n^10 + (10525213/7257600)*n^9 + (5190079/952560)*n^8 + (47462621/3110400)*n^7 + (99470417/3110400)*n^6 + (542507339/10886400)*n^5 + (226284461/3991680)*n^4 + (453542611/9979200)*n^3 + (60780847/2522520)*n^2 + (96119/12870)*n + 1

EXAMPLE

Some solutions for n=3

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

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

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

CROSSREFS

Sequence in context: A056095 A224261 A223917 * A223932 A224056 A224309

Adjacent sequences:  A224186 A224187 A224188 * A224190 A224191 A224192

KEYWORD

nonn

AUTHOR

R. H. Hardin Apr 01 2013

STATUS

approved

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Last modified January 25 06:36 EST 2022. Contains 350565 sequences. (Running on oeis4.)