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A041336 Numerators of continued fraction convergents to sqrt(182). 2
13, 27, 715, 1457, 38597, 78651, 2083523, 4245697, 112471645, 229188987, 6071385307, 12371959601, 327742334933, 667856629467, 17692014701075, 36051886031617, 955041051523117, 1946133989077851, 51554524767547243, 105055183524172337, 2782989296396028005 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
FORMULA
G.f.: -(x+1)*(x^2-14*x-13) / (x^4-54*x^2+1). - Colin Barker, Nov 06 2013
a(0)=13, a(1)=27, a(2)=715, a(3)=1457, a(n)=54*a(n-2)-a(n-4). - Harvey P. Dale, Mar 27 2015
MATHEMATICA
Numerator[Convergents[Sqrt[182], 30]] (* Vincenzo Librandi, Nov 01 2013 *)
LinearRecurrence[{0, 54, 0, -1}, {13, 27, 715, 1457}, 30] (* Harvey P. Dale, Mar 27 2015 *)
CROSSREFS
Cf. A041337.
Sequence in context: A146372 A018946 A042397 * A145417 A157206 A138685
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 06 2013
STATUS
approved

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Last modified April 24 14:54 EDT 2024. Contains 371960 sequences. (Running on oeis4.)