A042574 Numerators of continued fraction convergents to sqrt(816).

28, 29, 57, 200, 657, 2171, 2828, 4999, 282772, 287771, 570543, 1999400, 6568743, 21705629, 28274372, 49980001, 2827154428, 2877134429, 5704288857, 19990001000, 65674291857, 217012876571, 282687168428, 499700044999, 28265889688372, 28765589733371

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,9998,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^15 -28*x^14 +29*x^13 -57*x^12 +200*x^11 -657*x^10 +2171*x^9 -2828*x^8 -4999*x^7 -2828*x^6 -2171*x^5 -657*x^4 -200*x^3 -57*x^2 -29*x -28) / ((x^8 -100*x^4 +1)*(x^8 +100*x^4 +1)). - Colin Barker, Dec 18 2013

Mathematica

Numerator[Convergents[Sqrt[816], 30]] (* Vincenzo Librandi, Nov 28 2013 *)

Crossrefs

Cf. A042575, A040787.

Sequence in context: A042582 A042584 A042576 * A042572 A042570 A042568

Adjacent sequences: A042571 A042572 A042573 * A042575 A042576 A042577

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 18 2013

Status

approved