A269487 - OEIS

%I #7 Feb 28 2016 08:32:41

%S 2,9,64,617,7616,114695,2039274,41805237,970685708,25177153349,

%T 721451342084,22633337514825,771536819904130,28396264745292221,

%U 1122246922078022962,47400301233243564613,2130783065991229960608

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

%C Diagonal of A269494.

%H R. H. Hardin, <a href="/A269487/b269487.txt">Table of n, a(n) for n = 1..193</a>

%F Conjecture: a(n) ~ exp(1) * n^n. - _Vaclav Kotesovec_, Feb 28 2016

%e Some solutions for n=6

%e ..1. .1. .1. .0. .3. .2. .3. .0. .4. .3. .4. .3. .0. .4. .3. .3

%e ..5. .4. .5. .4. .3. .2. .2. .2. .1. .5. .6. .3. .5. .6. .5. .3

%e ..0. .6. .2. .3. .1. .2. .2. .0. .5. .2. .3. .0. .3. .1. .0. .2

%e ..5. .0. .1. .2. .1. .4. .3. .1. .4. .0. .5. .2. .1. .5. .4. .4

%e ..2. .0. .5. .6. .1. .2. .0. .4. .1. .0. .0. .3. .3. .6. .3. .6

%e ..1. .2. .3. .1. .2. .1. .1. .1. .1. .1. .0. .2. .1. .6. .3. .1

%Y Cf. A269494.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 28 2016