A183904 T(n,k) = Number of nondecreasing arrangements of n+3 numbers in 0..k with each number being the sum mod (k+1) of three others.

3, 1, 4, 5, 7, 5, 1, 14, 17, 6, 3, 5, 38, 25, 7, 1, 24, 66, 70, 34, 8, 5, 1, 130, 174, 111, 44, 9, 1, 22, 136, 364, 329, 162, 55, 10, 3, 9, 243, 664, 771, 539, 224, 67, 11, 1, 12, 242, 1160, 1720, 1386, 815, 298, 80, 12, 5, 3, 385, 1866, 3347, 3491, 2281, 1169, 385, 94, 13, 1, 50

Offset

1,1

Links

R. H. Hardin, Table of n, a(n) for n = 1..176

Example

Table starts:
..3..1...5....1....3.....1.....5......1......3......1......5......1......3
..4..7..14....5...24.....1....22......9.....12......3.....50......1......4
..5.17..38...66..130...136...243....242....385....251....593....257....624
..6.25..70..174..364...664..1160...1866...2768...3666...5646...6253...8846
..7.34.111..329..771..1720..3347...6503..10734..17926..28720..42251..61524
..8.44.162..539.1386..3491..7416..15973..29070..54543..93776.157192.247014
..9.55.224..815.2281..6263.14376..33236..65672.132796.243172.442027
.10.67.298.1169.3534.10400.25584..62678.132778.284451.550980
.11.80.385.1614.5236.16357.42852.110487.248816.559841
.12.94.486.2164.7492.24694.68552.185231.440772
Some solutions for n=3 and k=2:
..0....0....0....0....0....0....0....0....0....0....0....1....0....0....0....0
..0....0....0....0....0....0....0....0....1....1....0....1....0....1....0....1
..2....0....0....0....0....1....0....0....1....1....1....1....0....1....1....2
..2....2....1....1....0....1....0....1....1....1....2....2....0....2....1....2
..2....2....1....1....2....1....1....2....2....1....2....2....0....2....2....2
..2....2....1....2....2....1....1....2....2....2....2....2....0....2....2....2

Crossrefs

Sequence in context: A068399 A225407 A353292 * A105177 A050057 A104449

Adjacent sequences: A183901 A183902 A183903 * A183905 A183906 A183907

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 07 2011

Status

approved