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A041021 Denominators of continued fraction convergents to sqrt(14). 3
1, 1, 3, 4, 27, 31, 89, 120, 809, 929, 2667, 3596, 24243, 27839, 79921, 107760, 726481, 834241, 2394963, 3229204, 21770187, 24999391, 71768969, 96768360, 652379129, 749147489, 2150674107, 2899821596 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,30,0,0,0,-1).

FORMULA

G.f.: (1+1*x+3*x^2+4*x^3-3*x^4+x^5-x^6)/(1-30*x^4+x^8). [Colin Barker, Jan 03 2012]

MATHEMATICA

Table[Denominator[FromContinuedFraction[ContinuedFraction[Sqrt[14], n]]], {n, 1, 50}] (* Vladimir Joseph Stephan Orlovsky, Mar 17 2011*)

CROSSREFS

Cf. A010471, A041020.

Sequence in context: A300373 A222112 A032832 * A041022 A157163 A042225

Adjacent sequences:  A041018 A041019 A041020 * A041022 A041023 A041024

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified February 23 13:14 EST 2020. Contains 332159 sequences. (Running on oeis4.)