Solve Sequence to find next six numbers

2011 11 8
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I have a sequence to solve and get the next six numbers. I have all the stats for the data like 1st difference, second difference, third difference, mean, median, variance...
Sequence: 0,1,2,1,0,1,0,3,0,1,0,3,2,1,2,3

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Ajay Kumar
Ajay Kumar 2011-11-8

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The next six numbers are
2 3 0 3 2 3
Now the starting point element/vector is
A = [0 1 2 1 0 1 0 3 0 1 0 3 2 1 2 3 2 3 0 3 2 3];
(note that if A1=A(1:11) and A2 = A(12:22), then A1 + A2 = 3 * ones(1,11))
If we start with A3 = A, then we have a recursive formula An=[A(n-1) 3-A(n-1)]
Credit: Roman Dyba, Mountain View CA

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Walter Roberson
Walter Roberson 2011-11-8

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The next 6 numbers in the sequence are all 19. This was proven by Carl E. Linderholm in his paper Mathematics Made Difficult.

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