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A041213 Denominators of continued fraction convergents to sqrt(117). 2
1, 1, 5, 11, 49, 60, 1249, 1309, 6485, 14279, 63601, 77880, 1621201, 1699081, 8417525, 18534131, 82554049, 101088180, 2104317649, 2205405829, 10925940965, 24057287759, 107155092001, 131212379760 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

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-x^9+5*x^8-11*x^7+49*x^6-60*x^5-49*x^4-11*x^3-5*x^2-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 19 2012]

MATHEMATICA

Denominator[Convergents[Sqrt[117], 30]] (* Vincenzo Librandi, Oct 24 2013 *)

CROSSREFS

Cf. A041212.

Sequence in context: A149513 A097743 A176609 * A142238 A149514 A149515

Adjacent sequences:  A041210 A041211 A041212 * A041214 A041215 A041216

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified February 18 09:42 EST 2019. Contains 320249 sequences. (Running on oeis4.)