A224170 Number of nX5 0..3 arrays with rows and antidiagonals unimodal and columns nondecreasing

296, 14751, 242114, 2335459, 16625026, 95808564, 468021427, 1994287334, 7568051210, 25994968917, 81880904262, 239073335825, 652853600502, 1679943141302, 4099447427041, 9538065127010, 21257876699694, 45567034926263

Offset

1,1

Comments

Column 5 of A224173

Links

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

Formula

Empirical: a(n) = (769/444787200)*n^15 + (348923/10897286400)*n^14 + (103091/194594400)*n^13 + (52907/9580032)*n^12 + (943843/19958400)*n^11 + (2062183/7257600)*n^10 + (18840953/10886400)*n^9 + (179917349/30481920)*n^8 + (117380839/4354560)*n^7 + (1362686849/21772800)*n^6 + (9998925647/39916800)*n^5 - (85242803/147840)*n^4 + (54417504217/43243200)*n^3 - (64383420173/12612600)*n^2 + (221650083/10010)*n - 34678 for n>6

Example

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

Crossrefs

Sequence in context: A338592 A206339 A107924 * A223861 A223984 A224061

Adjacent sequences: A224167 A224168 A224169 * A224171 A224172 A224173

Keyword

nonn

Author

R. H. Hardin Mar 31 2013

Status

approved