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A042512 Numerators of continued fraction convergents to sqrt(785). 2
28, 1569, 87892, 4923521, 275805068, 15450007329, 865476215492, 48482118074881, 2715864088408828, 152136871068969249, 8522380643950686772, 477405452932307428481, 26743227744853166681708, 1498098159164709641604129, 83920240140968593096512932 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

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

Tanya Khovanova, Recursive Sequences

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

FORMULA

a(n) = 56*a(n-1)+a(n-2) for n>1, a(0)=28, a(1)=1569. G.f.: (28+x)/(1-56*x-x^2). [Philippe Deléham, Nov 23 2008]

a(n) = (1/2)*sqrt(785)*((28+sqrt(785))^n-(28-sqrt(785))^n)+14*((28-sqrt(785))^n+(28+sqrt(785))^n). [Paolo P. Lava, Nov 28 2008]

MATHEMATICA

Numerator[Convergents[Sqrt[785], 30]] (* Vincenzo Librandi, Nov 25 2013 *)

CROSSREFS

Cf. A042513, A040756.

Sequence in context: A007222 A209265 A042515 * A163033 A060335 A194190

Adjacent sequences:  A042509 A042510 A042511 * A042513 A042514 A042515

KEYWORD

nonn,frac,easy,changed

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Additional term from Colin Barker, Dec 17 2013

STATUS

approved

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Last modified March 28 02:14 EDT 2017. Contains 284182 sequences.