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A041089
Denominators of continued fraction convergents to sqrt(52).
2
1, 4, 5, 14, 19, 90, 1279, 5206, 6485, 18176, 24661, 116820, 1660141, 6757384, 8417525, 23592434, 32009959, 151632270, 2154861739, 8771079226, 10925940965, 30622961156, 41548902121, 196818569640, 2797008877081, 11384854077964, 14181862955045, 39748579988054
OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,1298,0,0,0,0,0,-1).
FORMULA
a(n) = 1298*a(n-6)-a(n-12). G.f.: -(x^10-4*x^9+5*x^8-14*x^7+19*x^6-90*x^5-19*x^4-14*x^3-5*x^2-4*x-1)/((x^2-3*x-1)*(x^2+3*x-1)*(x^4-3*x^3+10*x^2+3*x+1)*(x^4+3*x^3+10*x^2-3*x+1)). [Colin Barker, Jul 18 2012]
MATHEMATICA
Table[Denominator[FromContinuedFraction[ContinuedFraction[Sqrt[52], n]]], {n, 1, 50}] (* Vladimir Joseph Stephan Orlovsky, Jun 23 2011 *)
Denominator[Convergents[Sqrt[52], 30]] (* Vincenzo Librandi, Oct 24 2013 *)
CROSSREFS
Sequence in context: A041669 A300278 A129720 * A042321 A050164 A188021
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved