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A269406 Number of length-n 0..5 arrays with no repeated value greater than or equal to the previous repeated value. 1

%I #4 Feb 25 2016 14:36:27

%S 6,36,210,1215,6960,39560,223320,1253190,6995660,38870136,215074596,

%T 1185563746,6512894520,35666937840,194765568024,1060744346079,

%U 5762980508994,31239002042780,168977143019910,912220049428041

%N Number of length-n 0..5 arrays with no repeated value greater than or equal to the previous repeated value.

%C Column 5 of A269409.

%H R. H. Hardin, <a href="/A269406/b269406.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 30*a(n-1) -360*a(n-2) +2090*a(n-3) -4905*a(n-4) -5076*a(n-5) +41160*a(n-6) -9900*a(n-7) -151875*a(n-8) -6250*a(n-9) +300000*a(n-10) +281250*a(n-11) +78125*a(n-12)

%e Some solutions for n=6

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

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

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

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

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

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

%Y Cf. A269409.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 25 2016

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Last modified May 17 19:53 EDT 2024. Contains 372607 sequences. (Running on oeis4.)