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A041100 Numerators of continued fraction convergents to sqrt(58). 2
7, 8, 15, 23, 38, 61, 99, 1447, 1546, 2993, 4539, 7532, 12071, 19603, 286513, 306116, 592629, 898745, 1491374, 2390119, 3881493, 56731021, 60612514, 117343535, 177956049, 295299584, 473255633, 768555217, 11233028671, 12001583888, 23234612559, 35236196447 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Kristina Lund, Steven Schlicker and Patrick Sigmon, Fibonacci sequences and the space of compact sets, Involve, 1:2 (2008), pp. 159-165.

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,198,0,0,0,0,0,0,1).

FORMULA

G.f.: -(x^13 -7*x^12 +8*x^11 -15*x^10 +23*x^9 -38*x^8 +61*x^7 +99*x^6 +61*x^5 +38*x^4 +23*x^3 +15*x^2 +8*x +7) / (x^14 +198*x^7 -1). - Colin Barker, Nov 08 2013

MAPLE

cf:=numtheory:-cfrac(sqrt(58), 100):

seq(numtheory:-nthnumer(cf, n), n=0..100); # Robert Israel, Sep 02 2015

MATHEMATICA

Numerator[Convergents[Sqrt[58], 30]] (* Vincenzo Librandi, Oct 29 2013 *)

CROSSREFS

Cf. A041101, A010511.

Sequence in context: A231458 A070424 A022097 * A129658 A041693 A042001

Adjacent sequences:  A041097 A041098 A041099 * A041101 A041102 A041103

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 08 2013

STATUS

approved

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Last modified March 20 20:14 EDT 2019. Contains 321352 sequences. (Running on oeis4.)