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A041924 Numerators of continued fraction convergents to sqrt(485). 2
22, 969, 42658, 1877921, 82671182, 3639409929, 160216708058, 7053174564481, 310499897545222, 13669048666554249, 601748641225932178, 26490609262607570081, 1166188556195959015742, 51338787081884804262729, 2260072820159127346575818 (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 (44, 1).

FORMULA

a(n) = 44*a(n-1)+a(n-2) for n>1, a(0)=22, a(1)=969. G.f.: (22+x)/(1-44*x-x^2). [Philippe Deléham, Nov 23 2008]

a(n) = 11*((22+sqrt(485))^n+(22-sqrt(485))^n)+(1/2)*sqrt(485)*((22+sqrt(485))^n-(22-sqrt(485))^n). [Paolo P. Lava, Nov 28 2008]

MATHEMATICA

Numerator[Convergents[Sqrt[485], 30]] (* Vincenzo Librandi, Nov 12 2013 *)

CROSSREFS

Cf. A041925, A040462.

Sequence in context: A102995 A211887 A041927 * A160139 A004633 A232277

Adjacent sequences:  A041921 A041922 A041923 * A041925 A041926 A041927

KEYWORD

nonn,cofr,frac,easy,less

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 27 2013

STATUS

approved

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Last modified April 28 23:27 EDT 2017. Contains 285604 sequences.