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A041706 Numerators of continued fraction convergents to sqrt(373). 2
19, 58, 309, 1603, 5118, 196087, 593379, 3162982, 16408289, 52387849, 2007146551, 6073827502, 32376284061, 167955247807, 536242027482, 20545152292123, 62171698903851, 331403646811378, 1719189932960741, 5488973445693601, 210300180869317579, 636389516053646338 (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, 10236, 0, 0, 0, 0, 1).

FORMULA

G.f.: -(x^9 -19*x^8 +58*x^7 -309*x^6 +1603*x^5 +5118*x^4 +1603*x^3 +309*x^2 +58*x +19) / (x^10 +10236*x^5 -1). - Colin Barker, Nov 10 2013

MATHEMATICA

Numerator[Convergents[Sqrt[373], 30]] (* Vincenzo Librandi, Nov 07 2013 *)

LinearRecurrence[{0, 0, 0, 0, 10236, 0, 0, 0, 0, 1}, {19, 58, 309, 1603, 5118, 196087, 593379, 3162982, 16408289, 52387849}, 30] (* Harvey P. Dale, Jan 03 2022 *)

CROSSREFS

Cf. A041707.

Sequence in context: A061973 A041702 A041704 * A042619 A141887 A141773

Adjacent sequences:  A041703 A041704 A041705 * A041707 A041708 A041709

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms in Data from Colin Barker, Nov 10 2013

STATUS

approved

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Last modified August 7 23:50 EDT 2022. Contains 355995 sequences. (Running on oeis4.)