A269617 Number of length-n 0..6 arrays with no repeated value differing from the previous repeated value by other than plus two, zero or minus 1.

7, 49, 343, 2370, 16218, 110099, 742487, 4979260, 33232924, 220896016, 1463045800, 9659912834, 63605763734, 417796855262, 2738396932202, 17913923467256, 116986307701928, 762789970679730, 4966685787053850, 32298201110078751

Offset

1,1

Comments

Column 6 of A269619.

Links

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

Formula

Empirical: a(n) = 48*a(n-1) -1001*a(n-2) +11802*a(n-3) -85449*a(n-4) +383292*a(n-5) -1000148*a(n-6) +1185936*a(n-7) +212633*a(n-8) -1064856*a(n-9) -732405*a(n-10) -264438*a(n-11) -65802*a(n-12) -10656*a(n-13) -1071*a(n-14) -54*a(n-15)

Example

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

Crossrefs

Cf. A269619.

Sequence in context: A014949 A228738 A057845 * A269581 A269433 A269688

Adjacent sequences: A269614 A269615 A269616 * A269618 A269619 A269620

Keyword

nonn

Author

R. H. Hardin, Mar 01 2016

Status

approved