A269637 Number of length-n 0..5 arrays with no repeated value differing from the previous repeated value by other than plus two or minus 1.

6, 36, 210, 1209, 6876, 38738, 216528, 1202353, 6639294, 36486190, 199677806, 1088813760, 5918190122, 32077034918, 173421804818, 935474530883, 5035906367464, 27059901888584, 145161762258568, 777537033208493

Offset

1,1

Comments

Column 5 of A269640.

Links

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

Formula

Empirical: a(n) = 29*a(n-1) -330*a(n-2) +1730*a(n-3) -2815*a(n-4) -9981*a(n-5) +36088*a(n-6) +31192*a(n-7) -161403*a(n-8) -158561*a(n-9) +291970*a(n-10)

Example

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

Crossrefs

Cf. A269640.

Sequence in context: A354231 A014336 A268941 * A269534 A269675 A269406

Adjacent sequences: A269634 A269635 A269636 * A269638 A269639 A269640

Keyword

nonn

Author

R. H. Hardin, Mar 02 2016

Status

approved