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A223996
Number of nX5 0..2 arrays with antidiagonals unimodal and rows and diagonals nondecreasing
1
21, 281, 2403, 17929, 132119, 984595, 7400832, 55978489, 425257387, 3240026429, 24732295031, 189012200658, 1445524081573, 11059812977060, 84641528773971, 647871404690124, 4959498660501284, 37967742496830194, 290676685330836460
OFFSET
1,1
COMMENTS
Column 5 of A223999
LINKS
FORMULA
Empirical: a(n) = 21*a(n-1) -155*a(n-2) +405*a(n-3) +365*a(n-4) -2996*a(n-5) -664*a(n-6) +18276*a(n-7) -22433*a(n-8) -2304*a(n-9) -9369*a(n-10) -7644*a(n-11) +222262*a(n-12) +167540*a(n-13) -1508772*a(n-14) +2046821*a(n-15) -1097976*a(n-16) +4265706*a(n-17) -2582500*a(n-18) -941886*a(n-19) -2423080*a(n-20) +19902336*a(n-21) +2548764*a(n-22) +9439760*a(n-23) +1688032*a(n-24) +1035840*a(n-25) -957120*a(n-26) +1996416*a(n-27) -115200*a(n-28) for n>31
EXAMPLE
Some solutions for n=3
..0..0..0..0..0....0..1..1..1..1....0..0..0..0..0....1..1..1..1..2
..0..0..0..2..2....1..1..1..1..1....0..1..1..1..2....0..2..2..2..2
..1..1..1..1..2....0..1..1..2..2....0..2..2..2..2....2..2..2..2..2
CROSSREFS
Sequence in context: A004324 A243421 A028053 * A323063 A028033 A176711
KEYWORD
nonn
AUTHOR
R. H. Hardin Mar 30 2013
STATUS
approved