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A269407 Number of length-n 0..6 arrays with no repeated value greater than or equal to the previous repeated value. 1

%I

%S 7,49,336,2289,15477,104006,695135,4623815,30625210,202067047,

%T 1328649469,8708852838,56920021347,371043659463,2412849114074,

%U 15655214564192,101363364976160,655024985471255,4225174990367555,27207648363845138

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

%C Column 6 of A269409.

%H R. H. Hardin, <a href="/A269407/b269407.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 42*a(n-1) -735*a(n-2) +6748*a(n-3) -32319*a(n-4) +53130*a(n-5) +172655*a(n-6) -705840*a(n-7) -418320*a(n-8) +3386880*a(n-9) +2522016*a(n-10) -7402752*a(n-11) -13063680*a(n-12) -7838208*a(n-13) -1679616*a(n-14)

%e Some solutions for n=6

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

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

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

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

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

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

%Y Cf. A269409.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 25 2016

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Last modified October 27 20:04 EDT 2021. Contains 348289 sequences. (Running on oeis4.)