A041579 Denominators of continued fraction convergents to sqrt(307).

1, 1, 2, 23, 117, 140, 537, 9269, 28344, 37613, 216409, 2418112, 2634521, 5052633, 174424043, 179476676, 353900719, 4072384585, 20715823644, 24788208229, 95080448331, 1641155829856, 5018547937899, 6659703767755, 38317066776674, 428147438311169

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, 177058564, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 177058564*a(n-14) - a(n-28) for n>27. [Bruno Berselli, Dec 20 2013]

Mathematica

Denominator[Convergents[Sqrt[307], 30]] (* Vincenzo Librandi, Dec 20 2013 *)

Crossrefs

Cf. A041578.

Sequence in context: A034523 A229222 A143912 * A185830 A301665 A193981

Adjacent sequences: A041576 A041577 A041578 * A041580 A041581 A041582

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Dec 20 2013

Status

approved