A229565 T(n,k) = number of arrays of length n that are sums of k consecutive elements of length n+k-1 permutations of 0..n+k-2.

1, 1, 2, 1, 6, 6, 1, 12, 16, 24, 1, 20, 96, 120, 120, 1, 30, 264, 304, 648, 720, 1, 42, 524, 2904, 4416, 5040, 5040, 1, 56, 920, 9120, 9968, 38520, 38592, 40320, 1, 72, 1484, 20272, 133616, 257136, 302400, 362880, 362880, 1, 90, 2216, 38176, 431328, 465984

Offset

1,3

Comments

Table starts

......1.......1........1........1........1.......1......1.......1......1....1

......2.......6.......12.......20.......30......42.....56......72.....90..110

......6......16.......96......264......524.....920...1484....2216...3148.4304

.....24.....120......304.....2904.....9120...20272..38176...64920.102848

....120.....648.....4416.....9968...133616..431328.992032.1932256

....720....5040....38520...257136...465984.7867328

...5040...38592...302400..3160800.20661216

..40320..362880..3540672.37000368

.362880.3600000.39595392

Links

R. H. Hardin, Table of n, a(n) for n = 1..71

Example

Some solutions for n=3, k=4:
   7  9 13 10 11  6  9  7  8  8 11  8  7 13 12 12
   9 11 14 13 14 10  6  9  6 13 14 10 11  8  7 10
  10 10 11 11 11 13 11 14  9 12 10  8 10  9  9 11

Crossrefs

Column 1 is A000142.

Row 2 is A002378.

Sequence in context: A049019 A133314 A208909 * A259477 A208919 A347580

Adjacent sequences: A229562 A229563 A229564 * A229566 A229567 A229568

Keyword

nonn,tabl

Author

R. H. Hardin, Sep 26 2013

Status

approved