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A109374
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Irregular table read by rows: Row n is the terms of the continued fraction for prime(n+1)/prime(n).
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6
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1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 3, 1, 5, 2, 1, 3, 4, 1, 8, 2, 1, 4, 1, 3, 1, 3, 1, 5, 1, 14, 2, 1, 5, 6, 1, 9, 4, 1, 20, 2, 1, 10, 1, 3, 1, 7, 1, 5, 1, 8, 1, 5, 1, 29, 2, 1, 10, 6, 1, 16, 1, 3, 1, 35, 2, 1, 12, 6, 1, 19, 1, 3, 1, 13, 1, 5, 1, 11, 8, 1, 24, 4, 1, 50, 2, 1, 25, 1, 3, 1, 53, 2, 1, 27, 4, 1
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OFFSET
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1,2
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COMMENTS
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Sequence A071866 gives the number of terms in the n-th continued fraction.
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LINKS
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EXAMPLE
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Prime(4)/prime(3) = 7/5 = 1+ 1/(2+1/2), so the terms associated with the 3rd continued fraction are 1, 2, 2.
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MAPLE
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seq(op(convert(ithprime(n+1)/ithprime(n), confrac)), n=1..100); # Robert Israel, May 29 2018
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MATHEMATICA
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Flatten[Table[ContinuedFraction[Prime[n + 1]/Prime[n]], {n, 30}]] (* Ray Chandler, Aug 25 2005 *)
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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