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.

48, 432, 931, 2550, 11613, 27945, 49368, 68970, 123708, 172125, 235575, 365007, 515970, 602148, 614068, 854658, 1287057, 1723125, 2252628, 2436318, 3128520, 4223595, 5256603, 6850200, 8320782, 10545093, 12558784, 12562113, 15564882, 16238600, 18249300, 22193823

Offset

1,1

Links

Chai Wah Wu, Table of n, a(n) for n = 1..67

Example

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.

Crossrefs

Sequence in context: A232917 A172201 A249293 * A281374 A190416 A231342

Adjacent sequences: A347165 A347166 A347167 * A347169 A347170 A347171

Keyword

nonn

Author

Naohiro Nomoto, Aug 20 2021

Extensions

a(6)-a(22) from Jon E. Schoenfield, Aug 20 2021

More terms from Jinyuan Wang, Aug 21 2021

Status

approved