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A240071 Irregular triangle of the simple continued fraction of sqrt(n). 1
1, 1, 2, 1, 1, 2, 2, 2, 4, 2, 2, 4, 2, 1, 1, 1, 4, 2, 1, 4, 3, 3, 6, 3, 3, 6, 3, 2, 6, 3, 1, 1, 1, 1, 6, 3, 1, 2, 1, 6, 3, 1, 6, 4, 4, 8, 4, 4, 8, 4, 2, 1, 3, 1, 2, 8, 4, 2, 8, 4, 1, 1, 2, 1, 1, 8, 4, 1, 2, 4, 2, 1, 8, 4, 1, 3, 1, 8, 4, 1, 8, 5, 5, 10, 5, 5, 10 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
LINKS
Eric W. Weisstein, Simple continued fraction
EXAMPLE
Irregular table in which the first term is the non-repeating part:
{1},
{1, 2},
{1, 1, 2},
{2},
{2, 4},
{2, 2, 4},
{2, 1, 1, 1, 4},
{2, 1, 4},
{3},
{3, 6},
{3, 3, 6},
{3, 2, 6},
{3, 1, 1, 1, 1, 6},
{3, 1, 2, 1, 6}
MATHEMATICA
Table[Flatten[ContinuedFraction[Sqrt[n]]], {n, 30}]
CROSSREFS
Cf. A067280 (length of the continued fraction of sqrt(n)).
Sequence in context: A117942 A290092 A066877 * A029255 A029272 A153904
KEYWORD
nonn,tabf
AUTHOR
T. D. Noe, Apr 04 2014
STATUS
approved

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Last modified April 14 23:25 EDT 2024. Contains 371667 sequences. (Running on oeis4.)