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A224005 Number of 7Xn 0..2 arrays with antidiagonals unimodal and rows and diagonals nondecreasing 1
2187, 102069, 739672, 2743444, 7400832, 16795265, 34534687, 67029572, 125640165, 230434296, 416688642, 746070578, 1325631005, 2339607173, 4101879980, 7141164265, 12337189420, 21134985710, 35876879602, 60309132371, 100343859256 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Row 7 of A223999
LINKS
FORMULA
Empirical: a(n) = (1/203212800)*n^14 + (1/29030400)*n^13 + (817/319334400)*n^12 + (2627/63866880)*n^11 + (8279/9676800)*n^10 + (408523/29030400)*n^9 + (46918247/203212800)*n^8 + (17877667/5806080)*n^7 + (73580257/1814400)*n^6 + (1465470497/3628800)*n^5 + (385797089/100800)*n^4 + (7741678111/362880)*n^3 + (387997970341/3880800)*n^2 - (400735465/1386)*n - 1233287 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
..1..1..1....0..0..1....0..0..1....0..1..1....0..1..1....1..2..2....1..2..2
..0..1..2....0..0..1....0..1..1....1..2..2....0..1..2....0..2..2....0..1..2
..0..2..2....0..1..1....0..1..2....0..1..2....0..1..1....1..1..2....0..1..1
..0..0..2....1..1..2....1..1..2....1..1..1....0..0..2....0..1..1....0..0..2
..0..1..2....0..1..2....0..1..2....0..1..2....0..0..2....0..2..2....0..0..2
..0..0..2....0..1..1....0..1..1....0..2..2....0..2..2....2..2..2....0..2..2
CROSSREFS
Sequence in context: A016759 A086874 A183810 * A210057 A232029 A268977
KEYWORD
nonn
AUTHOR
R. H. Hardin Mar 30 2013
STATUS
approved

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Last modified February 24 17:27 EST 2024. Contains 370307 sequences. (Running on oeis4.)