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A042733 Denominators of continued fraction convergents to sqrt(896). 2
1, 1, 14, 15, 884, 899, 12571, 13470, 793831, 807301, 11288744, 12096045, 712859354, 724955399, 10137279541, 10862234940, 640146906061, 651009141001, 9103265739074, 9754274880075, 574851208783424, 584605483663499, 8174722496408911, 8759327980072410 (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 (0,0,0,898,0,0,0,-1).

FORMULA

G.f.: -(x^2-x-1)*(x^4+15*x^2+1) / ((x^4-30*x^2+1)*(x^4+30*x^2+1)). - Colin Barker, Dec 22 2013

MATHEMATICA

Denominator[Convergents[Sqrt[896], 30]] (* Vincenzo Librandi, Jan 27 2014 *)

LinearRecurrence[{0, 0, 0, 898, 0, 0, 0, -1}, {1, 1, 14, 15, 884, 899, 12571, 13470}, 30] (* Harvey P. Dale, Apr 13 2016 *)

CROSSREFS

Cf. A042732, A040866.

Sequence in context: A041416 A041417 A041418 * A225758 A043663 A043703

Adjacent sequences:  A042730 A042731 A042732 * A042734 A042735 A042736

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 22 2013

STATUS

approved

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Last modified February 21 04:18 EST 2019. Contains 320371 sequences. (Running on oeis4.)