A041792 Numerators of continued fraction convergents to sqrt(417).

20, 41, 102, 143, 245, 388, 2185, 9128, 11313, 144884, 156197, 769672, 4004557, 4774229, 8778786, 13553015, 35884816, 85322647, 3448790696, 6982904039, 17414598774, 24397502813, 41812101587, 66209604400

Offset

0,1

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, 170645294, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 170645294*a(n-18) - a(n-36) for n>35. [Bruno Berselli, Nov 09 2013]

Mathematica

Numerator[Convergents[Sqrt[417], 30]] (* Vincenzo Librandi, Nov 09 2013 *)

Crossrefs

Cf. A041793.

Sequence in context: A195148 A171389 A038639 * A041794 A041796 A041798

Adjacent sequences: A041789 A041790 A041791 * A041793 A041794 A041795

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Status

approved