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A269617 Number of length-n 0..6 arrays with no repeated value differing from the previous repeated value by other than plus two, zero or minus 1. 1

%I #4 Mar 01 2016 14:55:48

%S 7,49,343,2370,16218,110099,742487,4979260,33232924,220896016,

%T 1463045800,9659912834,63605763734,417796855262,2738396932202,

%U 17913923467256,116986307701928,762789970679730,4966685787053850,32298201110078751

%N Number of length-n 0..6 arrays with no repeated value differing from the previous repeated value by other than plus two, zero or minus 1.

%C Column 6 of A269619.

%H R. H. Hardin, <a href="/A269617/b269617.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 48*a(n-1) -1001*a(n-2) +11802*a(n-3) -85449*a(n-4) +383292*a(n-5) -1000148*a(n-6) +1185936*a(n-7) +212633*a(n-8) -1064856*a(n-9) -732405*a(n-10) -264438*a(n-11) -65802*a(n-12) -10656*a(n-13) -1071*a(n-14) -54*a(n-15)

%e Some solutions for n=6

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

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

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

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

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

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

%Y Cf. A269619.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 01 2016

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Last modified April 24 10:11 EDT 2024. Contains 371935 sequences. (Running on oeis4.)