A041556 Numerators of continued fraction convergents to sqrt(296).

17, 69, 86, 671, 757, 3699, 126523, 509791, 636314, 4963989, 5600303, 27365201, 936017137, 3771433749, 4707450886, 36723589951, 41431040837, 202447753299, 6924654653003, 27901066365311, 34825721018314, 271681113493509, 306506834511823, 1497708451540801

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,7398,0,0,0,0,0,-1).

Formula

G.f.: -(x^11 -17*x^10 +69*x^9 -86*x^8 +671*x^7 -757*x^6 -3699*x^5 -757*x^4 -671*x^3 -86*x^2 -69*x -17) / ((x^6 -86*x^3 -1)*(x^6 +86*x^3 -1)). - Colin Barker, Nov 08 2013

Mathematica

Numerator[Convergents[Sqrt[296], 40]] (* Vincenzo Librandi, Jan 13 2012 *)

Crossrefs

Cf. A041557.

Sequence in context: A209078 A244630 A248894 * A041558 A327495 A183943

Adjacent sequences: A041553 A041554 A041555 * A041557 A041558 A041559

Keyword

nonn,cofr,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 08 2013

Status

approved