A041783 Denominators of continued fraction convergents to sqrt(412).

1, 3, 7, 10, 37, 47, 225, 722, 1669, 22419, 225859, 2958586, 6143031, 21387679, 91693747, 113081426, 430938025, 544019451, 1518976927, 5100950232, 205556986207, 621771908853, 1449100803913, 2070872712766, 7661718942211, 9732591654977

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 207075963134, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 207075963134*a(n-20) - a(n-40) for n>39. - Vincenzo Librandi, Dec 24 2013

Mathematica

Denominator[Convergents[Sqrt[412], 30]] (* Vincenzo Librandi, Dec 24 2013 *)

Crossrefs

Cf. A041782.

Sequence in context: A056807 A146927 A193650 * A041899 A101397 A042229

Adjacent sequences: A041780 A041781 A041782 * A041784 A041785 A041786

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Dec 24 2013

Status

approved