A224003 Number of 5Xn 0..2 arrays with antidiagonals unimodal and rows and diagonals nondecreasing

243, 4004, 18672, 55333, 132119, 281271, 559188, 1063365, 1958634, 3517866, 6183395, 10657414, 18032067, 29972868, 48972482, 78695853, 124442202, 193754586, 297213549, 449457950, 670483363, 987276552, 1435853472, 2063778077

Offset

1,1

Comments

Row 5 of A223999

Links

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

Formula

Empirical: a(n) = (1/86400)*n^10 + (1/5760)*n^9 + (13/3360)*n^8 + (1079/20160)*n^7 + (19031/28800)*n^6 + (35137/5760)*n^5 + (513623/8640)*n^4 + (161053/480)*n^3 + (3838487/2800)*n^2 - (614813/210)*n - 2235 for n>6

Example

Some solutions for n=3
..0..2..2....0..0..0....0..0..2....1..1..1....0..2..2....0..0..0....0..0..0
..0..1..2....0..0..1....0..0..0....1..1..1....0..0..2....0..0..2....1..1..2
..0..1..2....0..0..2....0..0..0....1..1..2....0..1..2....1..1..2....0..1..2
..0..1..1....0..2..2....0..1..2....0..2..2....0..0..1....0..1..2....0..0..1
..1..1..2....0..2..2....1..1..1....2..2..2....0..2..2....0..1..1....0..2..2

Crossrefs

Sequence in context: A016757 A133550 A029700 * A232027 A183808 A231913

Adjacent sequences: A224000 A224001 A224002 * A224004 A224005 A224006

Keyword

nonn

Author

R. H. Hardin Mar 30 2013

Status

approved