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A224170 Number of nX5 0..3 arrays with rows and antidiagonals unimodal and columns nondecreasing 1
296, 14751, 242114, 2335459, 16625026, 95808564, 468021427, 1994287334, 7568051210, 25994968917, 81880904262, 239073335825, 652853600502, 1679943141302, 4099447427041, 9538065127010, 21257876699694, 45567034926263 (list; graph; refs; listen; history; text; internal format)
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

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Last modified May 20 23:05 EDT 2022. Contains 353886 sequences. (Running on oeis4.)