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A041506 Numerators of continued fraction convergents to sqrt(270). 2
16, 33, 115, 723, 2284, 5291, 171596, 348483, 1217045, 7650753, 24169304, 55989361, 1815828856, 3687647073, 12878770075, 80960267523, 255759572644, 592479412811, 19215100782596, 39022680978003, 136283143716605, 856721543277633, 2706447773549504 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,10582,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^11 -16*x^10 +33*x^9 -115*x^8 +723*x^7 -2284*x^6 -5291*x^5 -2284*x^4 -723*x^3 -115*x^2 -33*x -16) / ((x^4 -22*x^2 +1)*(x^8 +22*x^6 +483*x^4 +22*x^2 +1)). - Colin Barker, Nov 10 2013
MATHEMATICA
Numerator[Convergents[Sqrt[270], 30]] (* Vincenzo Librandi, Nov 03 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 10582, 0, 0, 0, 0, 0, -1}, {16, 33, 115, 723, 2284, 5291, 171596, 348483, 1217045, 7650753, 24169304, 55989361}, 30] (* Harvey P. Dale, Dec 25 2019 *)
CROSSREFS
Cf. A041507.
Sequence in context: A198275 A041504 A275252 * A041508 A144533 A041510
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 10 2013
STATUS
approved

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Last modified March 3 04:18 EST 2024. Contains 370499 sequences. (Running on oeis4.)