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

Author

R. H. Hardin, Mar 01 2016

Keywords

• nonn

Comments

Column 5 of A269619.

Examples

			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
		

Links

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

Crossrefs

Cf. A269619.

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)