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A223862 Number of nX6 0..3 arrays with rows and antidiagonals unimodal and columns nondecreasing 1
610, 52591, 1477240, 22852913, 243933798, 1989679315, 13140481520, 73068868012, 352040804450, 1502130487437, 5774921786002, 20281095690376, 65798275499953, 199037907806762, 565735226772194, 1520829902726663, 3888227083552907 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 6 of A223864

LINKS

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

FORMULA

Empirical: a(n) = (42587101/1600593426432000)*n^18 + (42587101/44460928512000)*n^17 + (315292339/15692092416000)*n^16 + (41939983/145297152000)*n^15 + (4407829651/1426553856000)*n^14 + (41324477/1596672000)*n^13 + (19314677849/113164128000)*n^12 + (2898049019/3143448000)*n^11 + (876424981241/219469824000)*n^10 + (28801840747/2032128000)*n^9 + (50450804070829/1207084032000)*n^8 + (17909311831/177408000)*n^7 + (265168304450783/1471133664000)*n^6 + (27553165793177/163459296000)*n^5 - (2984221796923/29719872000)*n^4 - (816413565637/1009008000)*n^3 - (1198736836439/7718911200)*n^2 + (2348655877/471240)*n - 5035 for n>4

EXAMPLE

Some solutions for n=3

..0..0..1..2..0..0....0..0..1..2..3..2....0..0..2..1..0..0....0..2..2..2..2..0

..0..2..2..2..2..0....0..0..2..3..3..2....0..0..2..2..2..0....0..2..3..3..2..1

..0..2..3..3..3..2....0..0..2..3..3..2....0..0..3..3..3..3....0..2..3..3..3..2

CROSSREFS

Sequence in context: A220568 A189455 A224171 * A223985 A224062 A224048

Adjacent sequences:  A223859 A223860 A223861 * A223863 A223864 A223865

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 28 2013

STATUS

approved

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Last modified January 19 22:12 EST 2022. Contains 350466 sequences. (Running on oeis4.)