a(n) is the least k such that the denominators of continued fraction convergents for sqrt(k) match the first n Fibonacci numbers.

A309666

a(n) is the least k such that the denominators of continued fraction convergents for sqrt(k) match the first n Fibonacci numbers.

Terms

    a(0) =2a(1) =3a(2) =7a(3) =7a(4) =13a(5) =58a(6) =58a(7) =135a(8) =819a(9) =819a(10) =2081a(11) =13834a(12) =13834a(13) =35955a(14) =244647a(15) =244647a(16) =639389a(17) =4374866a(18) =4374866a(19) =11448871a(20) =78439683a(21) =78439683a(22) =205337953a(23) =1407271538a(24) =1407271538a(25) =3684200835a(26) =25251313255a(27) =25251313255a(28) =66108441037a(29) =453111560266

External references