A042530 Numerators of continued fraction convergents to sqrt(794).

28, 141, 169, 310, 479, 789, 1268, 2057, 3325, 5382, 30235, 1698542, 8522945, 10221487, 18744432, 28965919, 47710351, 76676270, 124386621, 201062891, 325449512, 1828310451, 102710834768, 515382484291, 618093319059, 1133475803350, 1751569122409, 2885044925759

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, 0, 60470, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Formula

G.f.: -(x^21 -28*x^20 +141*x^19 -169*x^18 +310*x^17 -479*x^16 +789*x^15 -1268*x^14 +2057*x^13 -3325*x^12 +5382*x^11 +30235*x^10 +5382*x^9 +3325*x^8 +2057*x^7 +1268*x^6 +789*x^5 +479*x^4 +310*x^3 +169*x^2 +141*x +28) / (x^22 +60470*x^11 -1). - Colin Barker, Dec 17 2013

Mathematica

Numerator[Convergents[Sqrt[794], 30]] (* Harvey P. Dale, Jan 27 2012 *)

Crossrefs

Cf. A042531, A040765.

Sequence in context: A095301 A201102 A317680 * A042532 A187608 A069917

Adjacent sequences: A042527 A042528 A042529 * A042531 A042532 A042533

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 17 2013

Status

approved