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A041238
Numerators of continued fraction convergents to sqrt(131).
2
11, 23, 103, 1156, 4727, 10610, 238147, 486904, 2185763, 24530297, 100306951, 225144199, 5053479329, 10332102857, 46381890757, 520532901184, 2128513495493, 4777559892170, 107234831123233
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,21220,0,0,0,0,0,-1).
FORMULA
a(n) = 21220*a(n-6)-a(n-12). G.f.: -(x^11 -11*x^10 +23*x^9 -103*x^8 +1156*x^7 -4727*x^6 -10610*x^5 -4727*x^4 -1156*x^3 -103*x^2 -23*x -11) / (x^12-21220*x^6+1). [Colin Barker, Jul 19 2012]
MATHEMATICA
Numerator[Convergents[Sqrt[131], 25]] (* Vincenzo Librandi, Oct 27 2013 *)
CROSSREFS
Cf. A041239.
Sequence in context: A092558 A294255 A088777 * A089779 A146084 A179520
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved