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A042740 Numerators of continued fraction convergents to sqrt(901). 2
30, 1801, 108090, 6487201, 389340150, 23366896201, 1402403112210, 84167553628801, 5051455620840270, 303171504804045001, 18195341743863540330, 1092023676136616464801, 65539615909940851428390, 3933468978272587702168201 (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 (60, 1).

FORMULA

a(n) = 60*a(n-1)+a(n-2) for n>1, a(0)=30, a(1)=1801. G.f.: (30+x)/(1-60*x-x^2). [Philippe Deléham, Nov 23 2008]

a(n) = 15*((30-sqrt(901))^n+(30+sqrt(901))^n)+(1/2)*sqrt(901)*((30+sqrt(901))^n-(30-sqrt(901))^n). [Paolo P. Lava, Nov 28 2008]

MATHEMATICA

Numerator[Convergents[Sqrt[901], 30]] (* Vincenzo Librandi, Dec 03 2013 *)

CROSSREFS

Cf. A042741.

Sequence in context: A202384 A202369 A042743 * A282126 A112003 A280670

Adjacent sequences:  A042737 A042738 A042739 * A042741 A042742 A042743

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified May 23 07:01 EDT 2017. Contains 286909 sequences.