A041711 Denominators of continued fraction convergents to sqrt(375).

1, 2, 3, 8, 11, 63, 74, 211, 285, 781, 29963, 60707, 90670, 242047, 332717, 1905632, 2238349, 6382330, 8620679, 23623688, 906320823, 1836265334, 2742586157, 7321437648, 10064023805, 57641556673, 67705580478, 193052717629, 260758298107, 714569313843

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 30248, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^18 -2*x^17 +3*x^16 -8*x^15 +11*x^14 -63*x^13 +74*x^12 -211*x^11 +285*x^10 -781*x^9 -285*x^8 -211*x^7 -74*x^6 -63*x^5 -11*x^4 -8*x^3 -3*x^2 -2*x -1) / ((x^4 -8*x^2 +1)*(x^16 +8*x^14 +63*x^12 +496*x^10 +3905*x^8 +496*x^6 +63*x^4 +8*x^2 +1)). - Colin Barker, Nov 22 2013

Mathematica

Denominator[Convergents[Sqrt[375], 30]] (* Vincenzo Librandi, Dec 23 2013 *)

Crossrefs

Cf. A041710, A040355.

Sequence in context: A119185 A056922 A101579 * A127939 A041587 A139447

Adjacent sequences: A041708 A041709 A041710 * A041712 A041713 A041714

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 22 2013

Status

approved