A042834 Numerators of continued fraction convergents to sqrt(948).

30, 31, 123, 154, 585, 11854, 36147, 48001, 180150, 228151, 13869210, 14097361, 56161293, 70258654, 266937255, 5409003754, 16493948517, 21902952271, 82202805330, 104105757601, 6328548261390, 6432654018991, 25626510318363, 32059164337354

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, 456302, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^19 -30*x^18 +31*x^17 -123*x^16 +154*x^15 -585*x^14 +11854*x^13 -36147*x^12 +48001*x^11 -180150*x^10 -228151*x^9 -180150*x^8 -48001*x^7 -36147*x^6 -11854*x^5 -585*x^4 -154*x^3 -123*x^2 -31*x -30) / (x^20 -456302*x^10 +1). - Colin Barker, Dec 24 2013

Mathematica

Numerator[Convergents[Sqrt[948], 30]] (* Vincenzo Librandi, Dec 06 2013 *)

Crossrefs

Cf. A042835, A040917.

Sequence in context: A042824 A042822 A042820 * A042832 A042830 A042838

Adjacent sequences: A042831 A042832 A042833 * A042835 A042836 A042837

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 24 2013

Status

approved