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%I #7 Jun 26 2022 16:16:11
%S 34,136,146,178,194,205,221,305,306,377,386,410,466,482,505,514,544,
%T 545,562,584,674,689,706,712,745,776,793,802,820,850,866,884,890,898,
%U 905,1154,1186,1202,1205,1220,1224,1234,1282,1314,1345,1346,1394,1405,1469
%N Nonsquare positive integers n such that Pell equation y^2 - n*x^2 = -1 has rational solutions but the norm of fundamental unit of quadratic field Q(sqrt(n)) is 1.
%C If the fundamental unit y0 + x0*sqrt(n) of Q(sqrt(n)) has norm -1, then (x0,y0) represents a rational solution to Pell equation y^2 - n*x^2 = -1. For n in this sequence, rational solutions exist but not delivered by the fundamental unit.
%F A positive integer n is in this sequence iff its squarefree core A007913(n) belongs to A031398.
%Y Set difference of A000415 and its subsequence A172000.
%Y Set difference of A087643 and its subsequence A022544.
%Y Squarefree terms form A031398.
%Y Odd terms form A249052.
%Y Cf. A031399, A137351.
%K nonn
%O 1,1
%A _Max Alekseyev_, Jan 21 2010
%E Edited by _Max Alekseyev_, Mar 09 2010
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