A268957 Number of length-(n+3) 0..n arrays with no repeated value equal to the previous repeated value, with new values introduced in sequential order.

5, 29, 138, 634, 3045, 15579, 85314, 498408, 3092383, 20286281, 140153290, 1016261974, 7710988251, 61062381647, 503482376776, 4313580705556, 38328590370571, 352618807558797, 3353663977088616, 32927374589861042

Offset

1,1

Comments

Subdiagonal 3 of A268956.

Links

R. H. Hardin, Table of n, a(n) for n = 1..119

Example

Some solutions for n=7
..0. .0. .0. .0. .0. .0. .0. .0. .0. .0. .0. .0. .0. .0. .0. .0
..1. .1. .0. .1. .1. .1. .1. .0. .0. .1. .1. .1. .1. .1. .1. .0
..2. .2. .1. .1. .2. .2. .2. .1. .1. .2. .0. .2. .2. .2. .2. .1
..3. .3. .2. .0. .3. .2. .0. .2. .2. .3. .0. .3. .2. .0. .1. .2
..0. .3. .3. .2. .4. .3. .3. .1. .0. .1. .2. .3. .3. .1. .1. .0
..0. .0. .4. .3. .5. .1. .0. .2. .3. .0. .1. .4. .4. .0. .3. .3
..1. .4. .4. .2. .1. .4. .4. .1. .0. .1. .3. .0. .4. .3. .1. .1
..1. .5. .2. .0. .1. .4. .3. .3. .3. .3. .4. .5. .2. .4. .3. .1
..3. .1. .5. .2. .5. .3. .1. .0. .0. .1. .0. .3. .2. .5. .1. .2
..0. .0. .4. .1. .5. .1. .2. .2. .4. .4. .4. .2. .1. .3. .0. .2

Crossrefs

Cf. A268956.

Sequence in context: A217325 A034332 A273027 * A146053 A163082 A189430

Adjacent sequences: A268954 A268955 A268956 * A268958 A268959 A268960

Keyword

nonn

Author

R. H. Hardin, Feb 16 2016

Status

approved