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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
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
Sequence in context: A041011 A152118 A041056 * A047179 A166023 A137762
KEYWORD
nonn,frac,easy
AUTHOR
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.)