A041302 Numerators of continued fraction convergents to sqrt(164).

12, 13, 64, 397, 1652, 2049, 50828, 52877, 262336, 1626893, 6769908, 8396801, 208293132, 216689933, 1075052864, 6667007117, 27743081332, 34410088449, 853585204108, 887995292557, 4405566374336, 27321393538573, 113691140528628, 141012534067201

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,4098,0,0,0,0,0,-1).

Formula

G.f.: -(x^11 -12*x^10 +13*x^9 -64*x^8 +397*x^7 -1652*x^6 -2049*x^5 -1652*x^4 -397*x^3 -64*x^2 -13*x -12) / ((x^6 -64*x^3 -1)*(x^6 +64*x^3 -1)). - Colin Barker, Nov 06 2013

Mathematica

Numerator[Convergents[Sqrt[164], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

Crossrefs

Cf. A041303.

Sequence in context: A329597 A371704 A041300 * A041304 A085546 A041306

Adjacent sequences: A041299 A041300 A041301 * A041303 A041304 A041305

Keyword

nonn,frac,cofr,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 06 2013

Status

approved