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A269638 Number of length-n 0..6 arrays with no repeated value differing from the previous repeated value by other than plus two or minus 1. 1

%I #4 Mar 02 2016 07:45:02

%S 7,49,336,2279,15307,101999,675151,4443665,29104549,189818232,

%T 1233390075,7987992466,51583193592,332235953819,2134851774996,

%U 13688959603199,87607353750867,559696980939927,3570042462583517,22738396298175560

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

%C Column 6 of A269640.

%H R. H. Hardin, <a href="/A269638/b269638.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) +172660*a(n-6) -705975*a(n-7) -416955*a(n-8) +3381035*a(n-9) +2527266*a(n-10) -7375032*a(n-11) -13093923*a(n-12) -7922412*a(n-13) -1718604*a(n-14)

%e Some solutions for n=6

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

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

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

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

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

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

%Y Cf. A269640.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 02 2016

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Last modified April 25 12:15 EDT 2024. Contains 371969 sequences. (Running on oeis4.)