A041408 Numerators of continued fraction convergents to sqrt(219).

14, 15, 59, 74, 2131, 2205, 8746, 10951, 315374, 326325, 1294349, 1620674, 46673221, 48293895, 191554906, 239848801, 6907321334, 7147170135, 28348831739, 35496001874, 1022236884211, 1057732886085, 4195435542466, 5253168428551, 151284151541894

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,148,0,0,0,-1).

Formula

G.f.: -(x^7-14*x^6+15*x^5-59*x^4-74*x^3-59*x^2-15*x-14) / (x^8-148*x^4+1). - Colin Barker, Nov 07 2013

Mathematica

Numerator[Convergents[Sqrt[219], 30]] (* Harvey P. Dale, Mar 29 2013 *)

Crossrefs

Cf. A041409.

Sequence in context: A041929 A341242 A174924 * A041406 A041410 A372335

Adjacent sequences: A041405 A041406 A041407 * A041409 A041410 A041411

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 07 2013

Status

approved