

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


8



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
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OFFSET

1,1


COMMENTS

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


LINKS

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


EXAMPLE

Some solutions for n=3 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: A046070 A068399 A225407 * A105177 A050057 A104449
Adjacent sequences: A183901 A183902 A183903 * A183905 A183906 A183907


KEYWORD

nonn,tabl


AUTHOR

R. H. Hardin Jan 07 2011


STATUS

approved



