[go: up one dir, main page]

login
A042816
Numerators of continued fraction convergents to sqrt(939).
2
30, 31, 61, 92, 429, 8672, 35117, 43789, 78906, 122695, 7440606, 7563301, 15003907, 22567208, 105272739, 2128021988, 8617360691, 10745382679, 19362743370, 30108126049, 1825850306310, 1855958432359, 3681808738669, 5537767171028
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 245390, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^19 -30*x^18 +31*x^17 -61*x^16 +92*x^15 -429*x^14 +8672*x^13 -35117*x^12 +43789*x^11 -78906*x^10 -122695*x^9 -78906*x^8 -43789*x^7 -35117*x^6 -8672*x^5 -429*x^4 -92*x^3 -61*x^2 -31*x -30) / (x^20 -245390*x^10 +1). - Colin Barker, Dec 24 2013
MATHEMATICA
Numerator[Convergents[Sqrt[939], 30]] (* Vincenzo Librandi, Dec 05 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 245390, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1}, {30, 31, 61, 92, 429, 8672, 35117, 43789, 78906, 122695, 7440606, 7563301, 15003907, 22567208, 105272739, 2128021988, 8617360691, 10745382679, 19362743370, 30108126049}, 30] (* Harvey P. Dale, Oct 08 2023 *)
CROSSREFS
Sequence in context: A022400 A042812 A042814 * A042818 A042808 A042810
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 24 2013
STATUS
approved