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A223917 Number of nX7 0..2 arrays with rows and antidiagonals unimodal and columns nondecreasing 1
239, 9503, 140236, 1226491, 7906972, 41334135, 183720802, 715114500, 2489822632, 7881608430, 22979660094, 62362461624, 158897321204, 382876827441, 877788083326, 1924637063386, 4053719944340, 8232970841532, 16176720454482 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 7 of A223918

LINKS

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

FORMULA

Empirical: a(n) = (118519/21794572800)*n^14 + (118519/1037836800)*n^13 + (59179/34214400)*n^12 + (1397923/79833600)*n^11 + (117161/870912)*n^10 + (825457/1036800)*n^9 + (584642563/152409600)*n^8 + (98173459/7257600)*n^7 + (34767841/777600)*n^6 + (161988637/1814400)*n^5 + (3918685081/29937600)*n^4 - (1351991/44550)*n^3 - (53319445009/75675600)*n^2 - (347075779/180180)*n + 4742 for n>4

EXAMPLE

Some solutions for n=3

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

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

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

CROSSREFS

Sequence in context: A201045 A056095 A224261 * A224189 A223932 A224056

Adjacent sequences:  A223914 A223915 A223916 * A223918 A223919 A223920

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 29 2013

STATUS

approved

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Last modified May 28 09:09 EDT 2022. Contains 354112 sequences. (Running on oeis4.)