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A042809 Denominators of continued fraction convergents to sqrt(935). 2
1, 1, 2, 5, 7, 19, 26, 45, 2726, 2771, 5497, 13765, 19262, 52289, 71551, 123840, 7501951, 7625791, 15127742, 37881275, 53009017, 143899309, 196908326, 340807635, 20645366426, 20986174061, 41631540487, 104249255035, 145880795522, 396010846079 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 2752, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^14 -x^13 +2*x^12 -5*x^11 +7*x^10 -19*x^9 +26*x^8 -45*x^7 -26*x^6 -19*x^5 -7*x^4 -5*x^3 -2*x^2 -x -1) / (x^16 -2752*x^8 +1). - Colin Barker, Dec 23 2013
MATHEMATICA
Denominator[Convergents[Sqrt[935], 30]] (* Vincenzo Librandi, Jan 30 2014 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 2752, 0, 0, 0, 0, 0, 0, 0, -1}, {1, 1, 2, 5, 7, 19, 26, 45, 2726, 2771, 5497, 13765, 19262, 52289, 71551, 123840}, 30] (* Harvey P. Dale, Mar 20 2023 *)
CROSSREFS
Sequence in context: A045358 A128005 A045359 * A002531 A108413 A042449
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 23 2013
STATUS
approved

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Last modified May 27 20:38 EDT 2024. Contains 372882 sequences. (Running on oeis4.)