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A042834 Numerators of continued fraction convergents to sqrt(948). 2
30, 31, 123, 154, 585, 11854, 36147, 48001, 180150, 228151, 13869210, 14097361, 56161293, 70258654, 266937255, 5409003754, 16493948517, 21902952271, 82202805330, 104105757601, 6328548261390, 6432654018991, 25626510318363, 32059164337354 (list; graph; refs; listen; history; text; internal format)
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

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Last modified February 22 19:49 EST 2019. Contains 320403 sequences. (Running on oeis4.)