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A065005 Integers for which the periodic part of the continued fraction for the square root of n begins with 2. +0
1
2, 6, 12, 19, 20, 29, 30, 41, 42, 54, 55, 56, 70, 71, 72, 88, 89, 90, 107, 108, 109, 110, 129, 130, 131, 132, 153, 154, 155, 156, 178, 179, 180, 181, 182, 206, 207, 208, 209, 210, 236, 237, 238, 239, 240, 267, 268, 269, 270, 271, 272, 301, 302, 303, 304, 305 (list; graph; listen)
OFFSET

1,1

EXAMPLE

The continued fraction for the square root of 12 is 3, {2, 6}.

MATHEMATICA

Select[ Range[500], First[ Last[ ContinuedFraction[ Sqrt[ # ]]]] == 2 & ]

CROSSREFS

Sequence in context: A125024 A053660 A104969 this_sequence A139084 A086958 A130492

Adjacent sequences: A065002 A065003 A065004 this_sequence A065006 A065007 A065008

KEYWORD

easy,nonn

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Nov 01 2001

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.


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