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A269408 Number of length-n 0..7 arrays with no repeated value greater than or equal to the previous repeated value. 1

%I #4 Feb 25 2016 14:37:57

%S 8,64,504,3948,30744,238224,1837752,14121282,108123624,825227424,

%T 6279994728,47663522844,360868232424,2726022470928,20549497120776,

%U 154606709405835,1161096042133440,8705061811230400,65160664171875440

%N Number of length-n 0..7 arrays with no repeated value greater than or equal to the previous repeated value.

%C Column 7 of A269409.

%H R. H. Hardin, <a href="/A269408/b269408.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 56*a(n-1) -1344*a(n-2) +17752*a(n-3) -135716*a(n-4) +545496*a(n-5) -463792*a(n-6) -4675336*a(n-7) +12240018*a(n-8) +21847336*a(n-9) -72913568*a(n-10) -123833976*a(n-11) +152002508*a(n-12) +520479176*a(n-13) +513890832*a(n-14) +230592040*a(n-15) +40353607*a(n-16)

%e Some solutions for n=5

%e ..6. .0. .0. .4. .7. .2. .6. .3. .2. .6. .6. .4. .4. .3. .1. .5

%e ..6. .1. .7. .7. .1. .1. .3. .4. .0. .2. .6. .7. .2. .0. .1. .2

%e ..7. .7. .6. .4. .5. .6. .4. .2. .5. .5. .5. .1. .4. .6. .2. .4

%e ..5. .7. .5. .4. .1. .2. .3. .3. .5. .2. .1. .6. .5. .1. .0. .0

%e ..0. .3. .1. .7. .7. .4. .3. .1. .1. .7. .0. .3. .3. .1. .3. .0

%Y Cf. A269409.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 25 2016

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Last modified April 24 19:06 EDT 2024. Contains 371962 sequences. (Running on oeis4.)