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A347168 Nonsquare positive integers k such that k = a*b = c*m + b and b^2 = a*m + c where m > 1, 0 < a, b, c < m.

%I A347168 #12 Aug 31 2021 19:23:31
%S A347168 48,432,931,2550,11613,27945,49368,68970,123708,172125,235575,365007,
%T A347168 515970,602148,614068,854658,1287057,1723125,2252628,2436318,3128520,
%U A347168 4223595,5256603,6850200,8320782,10545093,12558784,12562113,15564882,16238600,18249300,22193823
%N A347168 Nonsquare positive integers k such that k = a*b = c*m + b and b^2 = a*m + c where m > 1, 0 < a, b, c < m.
%H A347168 Chai Wah Wu, <a href="/A347168/b347168.txt">Table of n, a(n) for n = 1..67</a>
%e A347168 432 is a nonsquare, m = 45, a = 16, b = 27, c = 9, 432 = 16*27 = 9*45 + 27, 27^2 = 16*45 + 9. Therefore 432 is a term.
%K A347168 nonn
%O A347168 1,1
%A A347168 _Naohiro Nomoto_, Aug 20 2021
%E A347168 a(6)-a(22) from _Jon E. Schoenfield_, Aug 20 2021
%E A347168 More terms from _Jinyuan Wang_, Aug 21 2021