A041831 Denominators of continued fraction convergents to sqrt(436).

1, 1, 8, 17, 25, 42, 67, 913, 2806, 6525, 15856, 85805, 101661, 187466, 851525, 8702716, 35662389, 44365105, 80027494, 444502575, 969032644, 2382567863, 8116736233, 107900138892, 116016875125, 223917014017, 339933889142, 903784792301, 6666427435249, 7570212227550

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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 316141343972498, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 316141343972498*a(n-30) - a(n-60) for n>59. - Vincenzo Librandi, Dec 25 2013

Mathematica

Denominator[Convergents[Sqrt[436], 30]] (* Vincenzo Librandi, Dec 25 2013 *)

Crossrefs

Cf. A041830.

Sequence in context: A121283 A046464 A022390 * A041122 A042211 A290227

Adjacent sequences: A041828 A041829 A041830 * A041832 A041833 A041834

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Dec 25 2013

Status

approved