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A041048 Numerators of continued fraction convergents to sqrt(30). 3
5, 11, 115, 241, 2525, 5291, 55435, 116161, 1217045, 2550251, 26719555, 55989361, 586613165, 1229215691, 12878770075, 26986755841, 282746328485, 592479412811, 6207540456595, 13007560326001, 136283143716605, 285573847759211, 2992021621308715, 6269617090376641 (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 (0,22,0,-1).

FORMULA

G.f.: (5+11*x+5*x^2-x^3)/(1-22*x^2+x^4). [Colin Barker, Jan 02 2012]

MATHEMATICA

Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[30], n]]], {n, 1, 50}] (* Vladimir Joseph Stephan Orlovsky, Mar 18 2011 *)

Numerator[Convergents[Sqrt[30], 30]] (* Harvey P. Dale, May 06 2012 *)

CROSSREFS

Cf. A010485, A041049.

Sequence in context: A056265 A302144 A041909 * A222568 A248253 A262309

Adjacent sequences:  A041045 A041046 A041047 * A041049 A041050 A041051

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Harvey P. Dale, Apr 04 2013

STATUS

approved

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Last modified October 20 10:32 EDT 2019. Contains 328257 sequences. (Running on oeis4.)