A223996 Number of nX5 0..2 arrays with antidiagonals unimodal and rows and diagonals nondecreasing

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

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

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

Adjacent sequences: A223993 A223994 A223995 * A223997 A223998 A223999

Keyword

nonn

Author

R. H. Hardin Mar 30 2013

Status

approved