A041994 Numerators of continued fraction convergents to sqrt(520).

22, 23, 114, 1277, 5222, 6499, 291178, 297677, 1481886, 16598423, 67875578, 84474001, 3784731622, 3869205623, 19261554114, 215746300877, 882246757622, 1097993058499, 49193941331578, 50291934390077, 250361678891886, 2804270402200823, 11467443287695178

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, 12998, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^11 -22*x^10 +23*x^9 -114*x^8 +1277*x^7 -5222*x^6 -6499*x^5 -5222*x^4 -1277*x^3 -114*x^2 -23*x -22) / ((x^6 -114*x^3 -1)*(x^6 +114*x^3 -1)). - Colin Barker, Nov 28 2013

Mathematica

Numerator[Convergents[Sqrt[520], 30]] (* Vincenzo Librandi, Nov 13 2013 *)

Crossrefs

Cf. A041995, A040497.

Sequence in context: A041992 A041990 A041996 * A041998 A042000 A042002

Adjacent sequences: A041991 A041992 A041993 * A041995 A041996 A041997

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Nov 28 2013

Status

approved