A041749 Denominators of continued fraction convergents to sqrt(394).

1, 1, 6, 7, 13, 20, 73, 93, 352, 1853, 4058, 9969, 53903, 171678, 225581, 848421, 1074002, 1922423, 2996425, 16904548, 19900973, 773141522, 793042495, 4738353997, 5531396492, 10269750489, 15801146981, 57673191432, 73474338413, 278096206671

Offset

0,3

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, 0, 790046070, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Formula

a(n) = 790046070*a(n-21) + a(n-42) for n>41. - Vincenzo Librandi, Dec 23 2013

Mathematica

Denominator/@Convergents[Sqrt[394], 30]  (* Harvey P. Dale, Apr 23 2011 *)

Crossrefs

Cf. A041748.

Sequence in context: A022096 A041175 A041074 * A042723 A160825 A020689

Adjacent sequences: A041746 A041747 A041748 * A041750 A041751 A041752

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Vincenzo Librandi, Dec 23 2013

Status

approved