Irregular triangular array: every periodic simple continued fraction CF represents a quadratic irrational (c + f*sqrt(d))/b, where b,c,f,d are integers and d is squarefree. Row n of this array shows the distinct values of d as CF ranges through the periodic continued fractions having period an n-tuple of 1s and 2s.
A246904
Irregular triangular array: every periodic simple continued fraction CF represents a quadratic irrational (c + f*sqrt(d))/b, where b,c,f,d are integers and d is squarefree. Row n of this array shows the distinct values of d as CF ranges through the periodic continued fractions having period an n-tuple of 1s and 2s.
Terms
- a(0) =2a(1) =5a(2) =2a(3) =3a(4) =5a(5) =2a(6) =5a(7) =10a(8) =85a(9) =2a(10) =3a(11) =5a(12) =6a(13) =30a(14) =221a(15) =2a(16) =5a(17) =13a(18) =65a(19) =145a(20) =290a(21) =533a(22) =2813a(23) =2a(24) =3a(25) =5a(26) =10a(27) =42a(28) =85a(29) =87
External references
- oeis: A246904