A042356 Numerators of continued fraction convergents to sqrt(705).

26, 27, 53, 239, 770, 7939, 24587, 106287, 130874, 237161, 12463246, 12700407, 25163653, 113355019, 365228710, 3765642119, 11662155067, 50414262387, 62076417454, 112490679841, 5911591769186, 6024082449027, 11935674218213, 53766779321879, 173236012183850

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, 474322, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^19 -26*x^18 +27*x^17 -53*x^16 +239*x^15 -770*x^14 +7939*x^13 -24587*x^12 +106287*x^11 -130874*x^10 -237161*x^9 -130874*x^8 -106287*x^7 -24587*x^6 -7939*x^5 -770*x^4 -239*x^3 -53*x^2 -27*x -26) / (x^20 -474322*x^10 +1). - Colin Barker, Dec 09 2013

Mathematica

Numerator[Convergents[Sqrt[705], 30]] (* Vincenzo Librandi, Nov 22 2013 *)

Crossrefs

Cf. A042357, A040678.

Sequence in context: A042368 A042360 A042358 * A042354 A042352 A304007

Adjacent sequences: A042353 A042354 A042355 * A042357 A042358 A042359

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 09 2013

Status

approved