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A042596
Numerators of continued fraction convergents to sqrt(827).
2
28, 29, 115, 834, 949, 26457, 27406, 218299, 682303, 900602, 51116015, 52016617, 207165866, 1502177679, 1709343545, 47654453394, 49363796939, 393201031967, 1228966892840, 1622167924807, 92070370682032, 93692538606839, 373147986502549
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 1801204, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^19 -28*x^18 +29*x^17 -115*x^16 +834*x^15 -949*x^14 +26457*x^13 -27406*x^12 +218299*x^11 -682303*x^10 -900602*x^9 -682303*x^8 -218299*x^7 -27406*x^6 -26457*x^5 -949*x^4 -834*x^3 -115*x^2 -29*x -28) / (x^20 -1801204*x^10 +1). - Colin Barker, Dec 19 2013
MATHEMATICA
Numerator[Convergents[Sqrt[827], 30]] (* Vincenzo Librandi, Nov 29 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 1801204, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1}, {28, 29, 115, 834, 949, 26457, 27406, 218299, 682303, 900602, 51116015, 52016617, 207165866, 1502177679, 1709343545, 47654453394, 49363796939, 393201031967, 1228966892840, 1622167924807}, 30] (* Harvey P. Dale, Jul 06 2021 *)
CROSSREFS
Sequence in context: A042586 A042600 A042598 * A042604 A042602 A042606
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 19 2013
STATUS
approved