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A041154 Numerators of continued fraction convergents to sqrt(87). 2
9, 28, 513, 1567, 28719, 87724, 1607751, 4910977, 90005337, 274926988, 5038691121, 15391000351, 282076697439, 861621092668, 15791256365463, 48235390189057, 884028279768489, 2700320229494524, 49489792410669921 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..100

Index entries for linear recurrences with constant coefficients, signature (0,56,0,-1).

FORMULA

G.f.: (9 + 28*x + 9*x^2 - x^3) / (1 - 56*x^2 + x^4). [Bruno Berselli, Oct 29 2013]

a(n) = 56*a(n-2) - a(n-4). [Bruno Berselli, Oct 29 2013]

MATHEMATICA

Numerator[Convergents[Sqrt[87], 30]] (* Vincenzo Librandi, Oct 29 2013 *)

CROSSREFS

Cf. A010538, A041155.

Sequence in context: A271185 A306843 A277511 * A024121 A205144 A258483

Adjacent sequences:  A041151 A041152 A041153 * A041155 A041156 A041157

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified October 16 17:49 EDT 2019. Contains 328102 sequences. (Running on oeis4.)