cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A146209 Integers a(n) for which the factorization in the real quadratic field Q(sqrt(a(n))) is not unique.

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%I A146209 #22 Dec 28 2023 19:34:53
%S A146209 10,15,26,30,34,35,39,42,51,55,58,65,66,70,74,78,79,82,85,87,91,95,
%T A146209 102,105,106,110,111,114,115,119,122,123,130,138,142,143,145,146,154,
%U A146209 155,159,165,170,174,178,182,183,185,186,187,190,194,195
%N A146209 Integers a(n) for which the factorization in the real quadratic field Q(sqrt(a(n))) is not unique.
%C A146209 The class number of Q(sqrt(a(n))) is greater than 1.
%C A146209 Contains A029702, A053330 and A051990 as subsequences. See A219361 for positive integers D for which Q(sqrt D) is a UFD. - _M. F. Hasler_, Oct 30 2014
%D A146209 Z. I. Borevich and I. R. Shafarevich, Zahlentheorie. Birkhäuser Verlag, Basel und Stuttgart (1966).
%H A146209 Vincenzo Librandi, <a href="/A146209/b146209.txt">Table of n, a(n) for n = 1..1000</a>
%e A146209 For n = 6, a(6) = 35 since 35 is the sixth positive squarefree integer u for which the factorization in Q(sqrt(u)) is not unique.
%t A146209 Select[Range[200], SquareFreeQ[#] && NumberFieldClassNumber[Sqrt[#]] > 1 &] (* _Alonso del Arte_, Sep 05 2012 *)
%Y A146209 Cf. A003172.
%K A146209 nonn
%O A146209 1,1
%A A146209 _Pahikkala Jussi_, Oct 28 2008