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A045777
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a(1)=1, a(2)=2; thereafter successive products of pairs of digits make further digits.
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2
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1, 2, 2, 4, 8, 3, 2, 2, 4, 6, 4, 8, 2, 4, 2, 4, 3, 2, 1, 6, 8, 8, 8, 1, 2, 6, 2, 6, 4, 8, 6, 4, 6, 4, 8, 2, 1, 2, 1, 2, 1, 2, 2, 4, 3, 2, 4, 8, 2, 4, 2, 4, 2, 4, 3, 2, 1, 6, 2, 2, 2, 2, 2, 2, 4, 8, 1, 2, 6, 8, 3, 2, 1, 6, 8, 8, 8, 8, 8, 1, 2, 6, 2, 6, 1, 2, 4, 4, 4, 4, 4, 8, 3, 2, 8, 2, 1, 2, 4, 8, 2, 4, 6, 2, 6
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OFFSET
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1,2
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COMMENTS
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The numbers 0, 5, 7, and 9 never appear, but arbitrarily long sequences of 8's appear.
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REFERENCES
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Erich Friedman, Puzzles of the Week, http://www2.stetson.edu/~efriedma/mathpuzzle/
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LINKS
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T. D. Noe, Table of n, a(n) for n = 1..15212
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EXAMPLE
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1*2=2 2*2=4 2*4=8 4*8=32 8*3=24...
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MATHEMATICA
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t = {1, 2}; Do[ t = Join[t, IntegerDigits[t[[n-1]] t[[n-2]]]], {n, 3, 100}]; t
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CROSSREFS
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Sequence in context: A131199 A112059 A093094 * A136534 A121175 A183397
Adjacent sequences: A045774 A045775 A045776 * A045778 A045779 A045780
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KEYWORD
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easy,nonn,base
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AUTHOR
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Erich Friedman
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STATUS
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approved
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