A211836 T(n,k)=Number of nonnegative integer arrays of length n+k+1 with new values 0 upwards introduced in order, no three adjacent elements equal, and containing the value k+1

1, 1, 7, 1, 11, 33, 1, 16, 77, 146, 1, 22, 157, 461, 664, 1, 29, 289, 1254, 2621, 3199, 1, 37, 492, 2997, 9068, 14862, 16479, 1, 46, 788, 6451, 27312, 62617, 86295, 90774, 1, 56, 1202, 12766, 72840, 231046, 426022, 520534, 532870, 1, 67, 1762, 23596, 175475

Offset

1,3

Comments

Table starts

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

.....7.....11......16.......22.......29........37........46.........56

....33.....77.....157......289......492.......788......1202.......1762

...146....461....1254.....2997.....6451.....12766.....23596......41229

...664...2621....9068....27312....72840....175475....388512.....801674

..3199..14862...62617...231046...748964...2166176...5684153...13733643

.16479..86295..426022..1874580..7251376..24849643..76514893..214762865

.90774.520534.2913894.14904776.67580793.270933321.969656615.3138301423

Links

R. H. Hardin, Table of n, a(n) for n = 1..9999

Example

Some solutions for n=3 k=4
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..1....1....1....1....1....1....0....1....1....1....1....1....1....1....1....1
..2....2....2....2....2....0....1....2....2....2....2....2....2....2....2....1
..3....3....3....3....2....2....1....3....1....3....3....0....3....3....3....2
..4....4....4....4....3....3....2....4....3....2....4....3....1....0....4....3
..5....2....5....0....4....4....3....1....4....3....5....4....4....4....5....4
..3....5....4....5....0....5....4....4....5....4....2....0....2....5....0....3
..5....3....3....0....5....4....5....5....3....5....2....5....5....3....2....5

Crossrefs

Row 2 is A000124(n+2)

Sequence in context: A232111 A074283 A331337 * A165949 A322565 A343227

Adjacent sequences: A211833 A211834 A211835 * A211837 A211838 A211839

Keyword

nonn,tabl

Author

R. H. Hardin Apr 21 2012

Status

approved