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 A041165 Denominators of continued fraction convergents to sqrt(92). 2
 1, 1, 2, 5, 22, 49, 71, 120, 2231, 2351, 4582, 11515, 50642, 112799, 163441, 276240, 5135761, 5412001, 10547762, 26507525, 116577862, 259663249, 376241111, 635904360, 11822519591, 12458423951, 24280943542, 61020311035, 268362187682, 597744686399 (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 (0,0,0,0,0,0,0,2302,0,0,0,0,0,0,0,-1). FORMULA G.f.: -(x^14 -x^13 +2*x^12 -5*x^11 +22*x^10 -49*x^9 +71*x^8 -120*x^7 -71*x^6 -49*x^5 -22*x^4 -5*x^3 -2*x^2 -x -1) / ((x^8 -48*x^4 +1)*(x^8 +48*x^4 +1)). - Colin Barker, Nov 14 2013 a(n) = 2302*a(n-8) - a(n-16). - Vincenzo Librandi, Dec 12 2013 MATHEMATICA Denominator[Convergents[Sqrt[92], 30]] (* Vincenzo Librandi, Dec 12 2013 *) PROG (MAGMA) I:=[1, 1, 2, 5, 22, 49, 71, 120, 2231, 2351, 4582, 11515, 50642, 112799, 163441, 276240]; [n le 16 select I[n] else 2302*Self(n-8)-Self(n-16): n in [1..40]]; // Vincenzo Librandi, Dec 12 2013 CROSSREFS Cf. A041164, A010163, A020849, A010543. Sequence in context: A024600 A131510 A181443 * A041006 A288028 A083465 Adjacent sequences:  A041162 A041163 A041164 * A041166 A041167 A041168 KEYWORD nonn,frac,easy AUTHOR EXTENSIONS More terms from Colin Barker, Nov 14 2013 STATUS approved

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Last modified December 10 15:09 EST 2019. Contains 329896 sequences. (Running on oeis4.)