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A063657 Numbers with property that truncated square root is unequal to rounded square root. +0
3
3, 7, 8, 13, 14, 15, 21, 22, 23, 24, 31, 32, 33, 34, 35, 43, 44, 45, 46, 47, 48, 57, 58, 59, 60, 61, 62, 63, 73, 74, 75, 76, 77, 78, 79, 80, 91, 92, 93, 94, 95, 96, 97, 98, 99, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 133, 134, 135, 136, 137, 138, 139, 140 (list; graph; listen)
OFFSET

1,1

COMMENT

Also: skip 1, take 0, skip 2, take 1, skip 3, take 2, ...

Integers for which the periodic part of the continued fraction for the square root of n begins with a 1. - Robert G. Wilson v (rgwv(AT)rgwv.com), Nov 01 2001

MATHEMATICA

Select[ Range[200], Floor[ Sqrt[ # ]] != Round[ Sqrt[ # ]] & ] or Select[ Range[200], First[ Last[ ContinuedFraction[ Sqrt[ # ]]]] == 1 & ]

CROSSREFS

Cf. A063656, A004201-A004202.

Sequence in context: A134258 A028972 A031425 this_sequence A108575 A050014 A132017

Adjacent sequences: A063654 A063655 A063656 this_sequence A063658 A063659 A063660

KEYWORD

nonn

AUTHOR

Floor van Lamoen (fvlamoen(AT)hotmail.com), Jul 24 2001

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Last modified November 30 22:12 EST 2008. Contains 150989 sequences.


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