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A041148
Numerators of continued fraction convergents to sqrt(84).
2
9, 55, 999, 6049, 109881, 665335, 12085911, 73180801, 1329340329, 8049222775, 146215350279, 885341324449, 16082359190361, 97379496466615, 1768913295589431, 10710859270003201, 194564380155647049, 1178097140203885495, 21400312903825585959
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OFFSET
0,1
LINKS
Vincenzo Librandi,
Table of n, a(n) for n = 0..80
Index entries for linear recurrences with constant coefficients
, signature (0,110,0,-1).
FORMULA
G.f.: -(x^3-9*x^2-55*x-9) / (x^4-110*x^2+1). -
Colin Barker
, Nov 05 2013
MATHEMATICA
Numerator[Convergents[Sqrt[84], 30]] (*
Vincenzo Librandi
, Oct 29 2013 *)
CROSSREFS
Cf.
A010535
,
A041149
.
Sequence in context:
A281454
A174711
A231857
*
A307844
A114026
A368889
Adjacent sequences:
A041145
A041146
A041147
*
A041149
A041150
A041151
KEYWORD
nonn
,
cofr
,
frac
,
easy
AUTHOR
N. J. A. Sloane
EXTENSIONS
More terms from
Colin Barker
, Nov 05 2013
STATUS
approved