A224005 Number of 7Xn 0..2 arrays with antidiagonals unimodal and rows and diagonals nondecreasing

2187, 102069, 739672, 2743444, 7400832, 16795265, 34534687, 67029572, 125640165, 230434296, 416688642, 746070578, 1325631005, 2339607173, 4101879980, 7141164265, 12337189420, 21134985710, 35876879602, 60309132371, 100343859256

Offset

1,1

Comments

Row 7 of A223999

Links

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

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

Adjacent sequences: A224002 A224003 A224004 * A224006 A224007 A224008

Keyword

nonn

Author

R. H. Hardin Mar 30 2013

Status

approved