A042573 Denominators of continued fraction convergents to sqrt(815).

1, 1, 2, 9, 11, 31, 166, 363, 529, 2479, 3008, 5487, 310280, 315767, 626047, 2819955, 3446002, 9711959, 52005797, 113723553, 165729350, 776640953, 942370303, 1719011256, 97207000639, 98926011895, 196133012534, 883458062031, 1079591074565, 3042640211161

Offset

0,3

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, 0, 0, 313288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^22 -x^21 +2*x^20 -9*x^19 +11*x^18 -31*x^17 +166*x^16 -363*x^15 +529*x^14 -2479*x^13 +3008*x^12 -5487*x^11 -3008*x^10 -2479*x^9 -529*x^8 -363*x^7 -166*x^6 -31*x^5 -11*x^4 -9*x^3 -2*x^2 -x -1) / (x^24 -313288*x^12 +1). - Colin Barker, Dec 18 2013

Mathematica

Denominator[Convergents[Sqrt[815], 30]] (* Vincenzo Librandi, Jan 25 2014 *)

Crossrefs

Cf. A042572, A040786.

Sequence in context: A280418 A042053 A134775 * A041651 A042687 A083159

Adjacent sequences: A042570 A042571 A042572 * A042574 A042575 A042576

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 18 2013

Status

approved