A269616 Number of length-n 0..5 arrays with no repeated value differing from the previous repeated value by other than plus two, zero or minus 1.

6, 36, 216, 1275, 7440, 43013, 246798, 1407232, 7982022, 45074673, 253574688, 1421878274, 7950451524, 44345786735, 246818403470, 1371136321437, 7604288654552, 42110933628975, 232895831580810, 1286536158378699

Offset

1,1

Comments

Column 5 of A269619.

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 35*a(n-1) -519*a(n-2) +4195*a(n-3) -19640*a(n-4) +51000*a(n-5) -56851*a(n-6) -16105*a(n-7) +50448*a(n-8) +35280*a(n-9) +12993*a(n-10) +3195*a(n-11) +444*a(n-12) +30*a(n-13)

Example

Some solutions for n=6
..2. .1. .5. .1. .2. .5. .3. .4. .0. .5. .3. .2. .0. .5. .1. .4
..5. .4. .3. .4. .0. .3. .4. .2. .5. .2. .1. .3. .2. .3. .2. .0
..5. .3. .3. .2. .1. .0. .3. .5. .5. .5. .4. .3. .2. .3. .0. .3
..4. .3. .2. .3. .5. .3. .5. .0. .4. .3. .3. .5. .1. .3. .4. .1
..3. .5. .2. .2. .0. .4. .4. .4. .5. .3. .4. .2. .3. .5. .5. .3
..4. .0. .5. .5. .5. .1. .0. .3. .1. .4. .1. .4. .5. .4. .3. .0

Crossrefs

Cf. A269619.

Sequence in context: A267789 A228737 A007274 * A269580 A269432 A269687

Adjacent sequences: A269613 A269614 A269615 * A269617 A269618 A269619

Keyword

nonn

Author

R. H. Hardin, Mar 01 2016

Status

approved