login
Number of length-n 0..6 arrays with no repeated value greater than the previous repeated value.
1

%I #4 Feb 26 2016 07:46:33

%S 7,49,343,2380,16408,112476,767172,5209554,35236110,237479970,

%T 1595378190,10686193980,71386033740,475694666700,3162645548916,

%U 20982275486907,138930896958189,918219765681883,6058251819231325,39906814296599320

%N Number of length-n 0..6 arrays with no repeated value greater than the previous repeated value.

%C Column 6 of A269435.

%H R. H. Hardin, <a href="/A269433/b269433.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 42*a(n-1) -749*a(n-2) +7308*a(n-3) -41601*a(n-4) +133686*a(n-5) -198037*a(n-6) -2136*a(n-7) +198037*a(n-8) +133686*a(n-9) +41601*a(n-10) +7308*a(n-11) +749*a(n-12) +42*a(n-13) +a(n-14)

%e Some solutions for n=6

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

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

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

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

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

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

%Y Cf. A269435.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 26 2016