A269493 Number of length-n 0..7 arrays with no repeated value differing from the previous repeated value by one.

8, 64, 512, 4082, 32460, 257536, 2039274, 16120298, 127240496, 1003029086, 7897819380, 62124999480, 488250966838, 3834268407348, 30090123746866, 235994522394958, 1849892639767268, 14493867039521420, 113511139403772878

Offset

1,1

Comments

Column 7 of A269494.

Links

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

Formula

Empirical: a(n) = 35*a(n-1) -483*a(n-2) +3234*a(n-3) -9950*a(n-4) +7266*a(n-5) +16356*a(n-6) +1169*a(n-7) -487*a(n-8) -21*a(n-9)

Example

Some solutions for n=5
..6. .4. .3. .5. .4. .3. .5. .1. .0. .4. .3. .3. .0. .1. .0. .3
..1. .5. .3. .5. .6. .7. .0. .3. .2. .0. .2. .1. .1. .2. .0. .6
..1. .5. .2. .2. .4. .7. .2. .2. .2. .6. .5. .3. .7. .1. .0. .6
..4. .6. .1. .4. .4. .1. .0. .3. .5. .0. .6. .6. .1. .4. .2. .0
..6. .7. .2. .6. .7. .3. .2. .2. .2. .0. .0. .3. .2. .0. .1. .4

Crossrefs

Cf. A269494.

Sequence in context: A269582 A269434 A269689 * A269775 A269655 A250360

Adjacent sequences: A269490 A269491 A269492 * A269494 A269495 A269496

Keyword

nonn

Author

R. H. Hardin, Feb 28 2016

Status

approved