A223917 Number of nX7 0..2 arrays with rows and antidiagonals unimodal and columns nondecreasing

239, 9503, 140236, 1226491, 7906972, 41334135, 183720802, 715114500, 2489822632, 7881608430, 22979660094, 62362461624, 158897321204, 382876827441, 877788083326, 1924637063386, 4053719944340, 8232970841532, 16176720454482

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