A269638 Number of length-n 0..6 arrays with no repeated value differing from the previous repeated value by other than plus two or minus 1.

7, 49, 336, 2279, 15307, 101999, 675151, 4443665, 29104549, 189818232, 1233390075, 7987992466, 51583193592, 332235953819, 2134851774996, 13688959603199, 87607353750867, 559696980939927, 3570042462583517, 22738396298175560

Offset

1,1

Comments

Column 6 of A269640.

Links

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

Formula

Empirical: a(n) = 42*a(n-1) -735*a(n-2) +6748*a(n-3) -32319*a(n-4) +53130*a(n-5) +172660*a(n-6) -705975*a(n-7) -416955*a(n-8) +3381035*a(n-9) +2527266*a(n-10) -7375032*a(n-11) -13093923*a(n-12) -7922412*a(n-13) -1718604*a(n-14)

Example

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

Crossrefs

Cf. A269640.

Sequence in context: A267469 A126639 A268942 * A269535 A269676 A269407

Adjacent sequences: A269635 A269636 A269637 * A269639 A269640 A269641

Keyword

nonn

Author

R. H. Hardin, Mar 02 2016

Status

approved