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A031712
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Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 34.
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3
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290, 1158, 2604, 4628, 7230, 10410, 14168, 18504, 23418, 28910, 34980, 41628, 48854, 56658, 65040, 74000, 83538, 93654, 104348, 115620, 127470, 139898, 152904, 166488, 180650, 195390, 210708, 226604, 243078, 260130, 277760, 295968, 314754, 334118, 354060, 374580, 375804
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OFFSET
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1,1
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COMMENTS
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The continued fraction expansion of sqrt((k*m)^2+t*m) for m >= 1 where t divides 2*k has the form [k*m, 2*k/t, 2*k*m, 2*k/t, 2*k*m, ...]. Thus numbers of the form (17*m)^2 + m for m >= 1 are in the sequence. Are there any others? - Chai Wah Wu, Jun 18 2016
The term 375804 is not of the form (17*m)^2 + m. - Chai Wah Wu, Jun 19 2016
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LINKS
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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