A042028 Numerators of continued fraction convergents to sqrt(538).

23, 116, 835, 951, 1786, 13453, 69051, 3189799, 16018046, 115316121, 131334167, 246650288, 1857886183, 9536081203, 440517621521, 2212124188808, 15925386943177, 18137511131985, 34062898075162, 256577797658119, 1316951886365757, 60836364570482941

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, 138102, 0, 0, 0, 0, 0, 0, 1).

Formula

G.f.: -(x^13 -23*x^12 +116*x^11 -835*x^10 +951*x^9 -1786*x^8 +13453*x^7 +69051*x^6 +13453*x^5 +1786*x^4 +951*x^3 +835*x^2 +116*x +23) / (x^14 +138102*x^7 -1). - Colin Barker, Nov 29 2013

Mathematica

Numerator[Convergents[Sqrt[538], 30]]  (* Vincenzo Librandi, Nov 14 2013 *)

Crossrefs

Cf. A042029, A040514.

Sequence in context: A302530 A156568 A042026 * A265982 A253679 A303411

Adjacent sequences: A042025 A042026 A042027 * A042029 A042030 A042031

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 29 2013

Status

approved