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A224395 Number of 6Xn 0..3 arrays with diagonals and antidiagonals unimodal and rows nondecreasing 1
4096, 1000000, 18794636, 152271025, 879830242, 4364554008, 19879000458, 84675848787, 337896379016, 1262027034092, 4414609771988, 14497401758306, 44849313719663, 131213360082438, 364483316826362, 964981060109623 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 6 of A224391

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..96

FORMULA

Empirical: a(n) = (42587101/1600593426432000)*n^18 + (83940121/177843714048000)*n^17 + (351548291/31384184832000)*n^16 + (404522743/2615348736000)*n^15 + (2603179801/1426553856000)*n^14 + (13975516589/747242496000)*n^13 + (1018677008761/3621252096000)*n^12 - (71772294491/67060224000)*n^11 + (9590385658061/219469824000)*n^10 - (19294207174217/73156608000)*n^9 + (6061000683461531/2414168064000)*n^8 - (67636294337629/7185024000)*n^7 + (580563104944166119/11769069312000)*n^6 + (14843452118300317/653837184000)*n^5 - (42702408306785177/59439744000)*n^4 + (14422633437701933/3027024000)*n^3 - (272645035897423741/15437822400)*n^2 + (10375478018905/1225224)*n + 82732433 for n>10

EXAMPLE

Some solutions for n=3

..0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0

..0..0..0....0..0..2....0..0..2....0..0..2....0..0..0....0..0..2....0..0..2

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

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

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

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

CROSSREFS

Sequence in context: A321820 A236218 A016962 * A224028 A269206 A183816

Adjacent sequences:  A224392 A224393 A224394 * A224396 A224397 A224398

KEYWORD

nonn

AUTHOR

R. H. Hardin Apr 05 2013

STATUS

approved

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Last modified July 21 02:02 EDT 2019. Contains 325189 sequences. (Running on oeis4.)