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 A031712 Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 34. 3
 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS 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 LINKS Charles R Greathouse IV, Table of n, a(n) for n = 1..10000 CROSSREFS Sequence in context: A158255 A295483 A075299 * A251049 A108881 A186547 Adjacent sequences:  A031709 A031710 A031711 * A031713 A031714 A031715 KEYWORD nonn AUTHOR EXTENSIONS a(35)-a(37) from Charles R Greathouse IV, Aug 03 2017 STATUS approved

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Last modified September 18 09:05 EDT 2021. Contains 347518 sequences. (Running on oeis4.)