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A041431 Denominators of continued fraction convergents to sqrt(231). 2
1, 5, 151, 760, 22951, 115515, 3488401, 17557520, 530214001, 2668627525, 80589039751, 405613826280, 12249003828151, 61650632967035, 1861767992839201, 9370490597163040, 282976485907730401, 1424252920135815045 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (0,152,0,-1).

FORMULA

a(n) = 152*a(n-2)-a(n-4). G.f.: -(x^2-5*x-1)/(x^4-152*x^2+1). [Colin Barker, Jul 15 2012]

MATHEMATICA

CoefficientList[Series[- (x^2 - 5 x - 1)/(x^4 - 152 x^2 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Oct 25 2013 *)

CROSSREFS

Cf. A041430.

Sequence in context: A232788 A082441 A096065 * A107691 A181979 A258486

Adjacent sequences:  A041428 A041429 A041430 * A041432 A041433 A041434

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified February 18 05:30 EST 2019. Contains 320245 sequences. (Running on oeis4.)