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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.
1

%I #12 Aug 31 2021 19:23:31

%S 48,432,931,2550,11613,27945,49368,68970,123708,172125,235575,365007,

%T 515970,602148,614068,854658,1287057,1723125,2252628,2436318,3128520,

%U 4223595,5256603,6850200,8320782,10545093,12558784,12562113,15564882,16238600,18249300,22193823

%N 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 Chai Wah Wu, <a href="/A347168/b347168.txt">Table of n, a(n) for n = 1..67</a>

%e 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 nonn

%O 1,1

%A _Naohiro Nomoto_, Aug 20 2021

%E a(6)-a(22) from _Jon E. Schoenfield_, Aug 20 2021

%E More terms from _Jinyuan Wang_, Aug 21 2021