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 A042643 Denominators of continued fraction convergents to sqrt(851). 2
 1, 5, 6, 29, 64, 477, 541, 4264, 9069, 40540, 49609, 288585, 16787539, 84226280, 101013819, 488281556, 1077576931, 8031320073, 9108897004, 71793599101, 152696095206, 682577979925, 835274075131, 4858948355580, 282654278698771, 1418130341849435 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 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, 0, 0, 0, 0, 16837148, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1). FORMULA a(n) = 16837148*a(n-12) - a(n-24) for n>23. - Vincenzo Librandi, Jan 26 2014 MATHEMATICA Denominator[Convergents[Sqrt[851], 30]] (* Vincenzo Librandi, Jan 26 2014 *) PROG (Magma) I:=[1, 5, 6, 29, 64, 477, 541, 4264, 9069, 40540, 49609, 288585, 16787539, 84226280, 101013819, 488281556, 1077576931, 8031320073, 9108897004, 71793599101, 152696095206, 682577979925, 835274075131, 4858948355580]; [n le 24 select I[n] else 16837148*Self(n-12)-Self(n-24): n in [1..40]]; // Vincenzo Librandi, Jan 26 2014 CROSSREFS Cf. A040821, A042642. Sequence in context: A041011 A152118 A041056 * A047179 A166023 A137762 Adjacent sequences: A042640 A042641 A042642 * A042644 A042645 A042646 KEYWORD nonn,frac,easy AUTHOR N. J. A. Sloane. EXTENSIONS More terms from Vincenzo Librandi, Jan 26 2014 STATUS approved

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Last modified April 21 23:36 EDT 2024. Contains 371886 sequences. (Running on oeis4.)