A042354 Numerators of continued fraction convergents to sqrt(704).

26, 27, 53, 398, 5227, 36987, 42214, 79201, 4160666, 4239867, 8400533, 63043598, 827967307, 5858814747, 6686782054, 12545596801, 659057815706, 671603412507, 1330661228213, 9986232009998, 131151677358187, 928047973517307, 1059199650875494

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,158402,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^15 -26*x^14 +27*x^13 -53*x^12 +398*x^11 -5227*x^10 +36987*x^9 -42214*x^8 -79201*x^7 -42214*x^6 -36987*x^5 -5227*x^4 -398*x^3 -53*x^2 -27*x -26) / ((x^4 -6*x^3 +18*x^2 +6*x +1)*(x^4 -20*x^2 +1)*(x^4 +20*x^2 +1)*(x^4 +6*x^3 +18*x^2 -6*x +1)). - Colin Barker, Dec 09 2013

Mathematica

Numerator[Convergents[Sqrt[704], 30]] (* Vincenzo Librandi, Nov 22 2013 *)

Crossrefs

Cf. A042355, A040677.

Sequence in context: A042360 A042358 A042356 * A042352 A304007 A305357

Adjacent sequences: A042351 A042352 A042353 * A042355 A042356 A042357

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 09 2013

Status

approved