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 A240950 Numbers n with the property that the continued fraction for sqrt(n) has odd period length, omitting those values of n of the form m^2+1. 1
 13, 29, 41, 53, 58, 61, 73, 74, 85, 89, 97, 106, 109, 113, 125, 130, 137, 149, 157, 173, 181, 185, 193, 202, 218, 229, 233, 241, 250, 265, 269, 274, 277, 281, 293, 298, 313, 314, 317, 337, 338, 346, 349, 353, 365, 370, 373, 389, 394, 397, 409, 421, 425, 433 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS p^2-n*q^2=-1 is solvable for integers p and q. A031396 is the union of this sequence with A002522. LINKS Colin Barker, Table of n, a(n) for n = 1..1000 EXAMPLE sqrt(13)= [3;1,1,1,1,6]. sqrt(29)= [5;2,1,1,2,10]. CROSSREFS Cf. A002522, A003814, A031396. Sequence in context: A141555 A036974 A045472 * A141293 A120827 A320631 Adjacent sequences:  A240947 A240948 A240949 * A240951 A240952 A240953 KEYWORD nonn AUTHOR Takao Ito, Aug 04 2014 EXTENSIONS More terms from Colin Barker, Dec 18 2014 STATUS approved

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Last modified August 22 08:08 EDT 2019. Contains 326172 sequences. (Running on oeis4.)