A269434 Number of length-n 0..7 arrays with no repeated value greater than the previous repeated value.

8, 64, 512, 4068, 32152, 252932, 1981512, 15465934, 120310016, 933059856, 7216323640, 55670133422, 428465939112, 3290601897928, 25221303496496, 192953793764769, 1473623863797808, 11236105478130612, 85542959337048488

Offset: 1

Author

R. H. Hardin, Feb 26 2016

Keywords

• nonn

Comments

Column 7 of A269435.

Examples

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

Links

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

Crossrefs

Cf. A269435.

Formula

Empirical: a(n) = 56*a(n-1) -1364*a(n-2) +18816*a(n-3) -159866*a(n-4) +846328*a(n-5) -2642416*a(n-6) +3954888*a(n-7) -157507*a(n-8) -3954888*a(n-9) -2642416*a(n-10) -846328*a(n-11) -159866*a(n-12) -18816*a(n-13) -1364*a(n-14) -56*a(n-15) -a(n-16)