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A006839 Minimum of largest partial quotient of continued fraction for k/n, (k,n) = 1.
(Formerly M0164)
+0
1
1, 1, 1, 2, 1, 4, 2, 1, 3, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 4, 1, 3, 3, 2, 2, 2, 2, 4, 2, 2, 2, 3, 3, 1, 3, 3, 2, 4, 3, 2, 2, 4, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 3, 5, 1, 2, 3, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 1, 3, 2, 3, 2, 3, 3, 4, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2 (list; graph; listen)
OFFSET

1,4

REFERENCES

H. Niederreiter, Dyadic functions with small partial quotients, Monat. f. Math., 101 (1986), 309-315.

J. O. Shallit, personal communication.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

CROSSREFS

Sequence in context: A031424 A013942 A088423 this_sequence A118235 A083653 A135152

Adjacent sequences: A006836 A006837 A006838 this_sequence A006840 A006841 A006842

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from David W. Wilson (davidwwilson(AT)comcast.net)

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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