A041862 Numerators of continued fraction convergents to sqrt(453).

21, 64, 85, 149, 1575, 22199, 223565, 245764, 469329, 1653751, 69926871, 211434364, 281361235, 492795599, 5209317225, 73423236749, 739441684715, 812864921464, 1552306606179, 5469784740001, 231283265686221, 699319581798664, 930602847484885, 1629922429283549

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, 3307502, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^19 -21*x^18 +64*x^17 -85*x^16 +149*x^15 -1575*x^14 +22199*x^13 -223565*x^12 +245764*x^11 -469329*x^10 -1653751*x^9 -469329*x^8 -245764*x^7 -223565*x^6 -22199*x^5 -1575*x^4 -149*x^3 -85*x^2 -64*x -21) / (x^20 -3307502*x^10 +1). - Colin Barker, Nov 26 2013

Mathematica

Numerator[Convergents[Sqrt[453], 30]]  (* Vincenzo Librandi, Nov 11 2013 *)

Crossrefs

Cf. A041863, A040431.

Sequence in context: A299450 A300088 A033481 * A041860 A041864 A041866

Adjacent sequences: A041859 A041860 A041861 * A041863 A041864 A041865

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 26 2013

Status

approved