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A013946
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Least d for which number with continued fraction [ n,n,n,n... ] is in Q(sqrt(d)).
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4
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5, 2, 13, 5, 29, 10, 53, 17, 85, 26, 5, 37, 173, 2, 229, 65, 293, 82, 365, 101, 445, 122, 533, 145, 629, 170, 733, 197, 5, 226, 965, 257, 1093, 290, 1229, 13, 1373, 362, 61, 401, 1685, 442, 1853, 485, 2029, 530, 2213, 577, 2405, 626, 2605, 677, 2813, 730, 3029, 785, 3253
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Square roots of a(n) are found in the limiting ratios of A000045, A001333, A003688, A015448, A015449, A015451 and so on. I.e. the limiting ratios are the golden ratio, silver mean, bronze ratio and so on. [From Mats Granvik (mats.granvik(AT)abo.fi), Oct 20 2010]
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FORMULA
| a(n) = A007913(n^2+4). [From David W. Wilson, Dec 08 2010]
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PROG
| (PARI) A013946(n)=core(n^2+4) \\ - M. F. Hasler, Dec 08 2010
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CROSSREFS
| a(n) = 2 is equivalent to "n is in the sequence A077444", a(n) = 5 is equivalent to "n is in the sequence A002878".
Sequence in context: A130298 A128116 A082153 * A085436 A194048 A158868
Adjacent sequences: A013943 A013944 A013945 * A013947 A013948 A013949
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KEYWORD
| nonn
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu)
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EXTENSIONS
| More terms from David W. Wilson (davidwwilson(AT)comcast.net)
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