A041512 Numerators of continued fraction convergents to sqrt(273).

16, 17, 33, 347, 380, 727, 23644, 24371, 48015, 504521, 552536, 1057057, 34378360, 35435417, 69813777, 733573187, 803386964, 1536960151, 49986111796, 51523071947, 101509183743, 1066614909377, 1168124093120, 2234739002497, 72679772173024, 74914511175521

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,1454,0,0,0,0,0,-1).

Formula

G.f.: -(x^11 -16*x^10 +17*x^9 -33*x^8 +347*x^7 -380*x^6 -727*x^5 -380*x^4 -347*x^3 -33*x^2 -17*x -16) / (x^12 -1454*x^6 +1). - Colin Barker, Nov 07 2013

Mathematica

Numerator[Convergents[Sqrt[273], 30]] (* Vincenzo Librandi, Nov 04 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 1454, 0, 0, 0, 0, 0, -1}, {16, 17, 33, 347, 380, 727, 23644, 24371, 48015, 504521, 552536, 1057057}, 30] (* Harvey P. Dale, Feb 27 2023 *)

Crossrefs

Cf. A041513.

Sequence in context: A058542 A041516 A041514 * A267029 A070869 A101196

Adjacent sequences: A041509 A041510 A041511 * A041513 A041514 A041515

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 07 2013

Status

approved