A041626 Numerators of continued fraction convergents to sqrt(332).

18, 73, 91, 164, 1403, 1567, 2970, 13447, 487062, 1961695, 2448757, 4410452, 37732373, 42142825, 79875198, 361643617, 13099045410, 52757825257, 65856870667, 118614695924, 1014774438059, 1133389133983, 2148163572042, 9726043422151, 352285726769478

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, 26894, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^15 -18*x^14 +73*x^13 -91*x^12 +164*x^11 -1403*x^10 +1567*x^9 -2970*x^8 -13447*x^7 -2970*x^6 -1567*x^5 -1403*x^4 -164*x^3 -91*x^2 -73*x -18) / ((x^8 -164*x^4 +1)*(x^8 +164*x^4 +1)). - Colin Barker, Nov 10 2013

Mathematica

Numerator[Convergents[Sqrt[332], 30]] (* Vincenzo Librandi, Nov 05 2013 *)

Crossrefs

Cf. A041627.

Sequence in context: A052619 A110753 A154670 * A039608 A211619 A305018

Adjacent sequences: A041623 A041624 A041625 * A041627 A041628 A041629

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 10 2013

Status

approved