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A042408 Numerators of continued fraction convergents to sqrt(732). 2
27, 487, 26325, 474337, 25640523, 462003751, 24973843077, 449991179137, 24324497516475, 438290946475687, 23692035607203573, 426894931876140001, 23076018356918763627, 415795225356413885287, 22476018187603268569125 (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, 974, 0, -1).

FORMULA

G.f.: (27 +487*x +27*x^2 -x^3)/(1 -974*x^2 +x^4). - Vincenzo Librandi, Nov 23 2013

a(n) = 974*a(n-2) - a(n-4). - Vincenzo Librandi, Nov 23 2013

MATHEMATICA

Numerator[Convergents[Sqrt[732], 30]] (* or *) CoefficientList[Series[(27 + 487 x + 27 x^2 - x^3)/(1 - 974 x^2 + x^4), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 23 2013 *)

LinearRecurrence[{0, 974, 0, -1}, {27, 487, 26325, 474337}, 20] (* Harvey P. Dale, May 07 2015 *)

PROG

(MAGMA) I:=[27, 487, 26325, 474337]; [n le 4 select I[n] else 974*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Nov 23 2013

CROSSREFS

Cf. A042409.

Sequence in context: A020976 A024114 A025982 * A023946 A020971 A023772

Adjacent sequences:  A042405 A042406 A042407 * A042409 A042410 A042411

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified November 18 07:22 EST 2019. Contains 329252 sequences. (Running on oeis4.)