A042572 Numerators of continued fraction convergents to sqrt(815).

28, 29, 57, 257, 314, 885, 4739, 10363, 15102, 70771, 85873, 156644, 8857937, 9014581, 17872518, 80504653, 98377171, 277258995, 1484672146, 3246603287, 4731275433, 22171705019, 26902980452, 49074685471, 2775085366828, 2824160052299, 5599245419127

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

Formula

G.f.: -(x^23 -28*x^22 +29*x^21 -57*x^20 +257*x^19 -314*x^18 +885*x^17 -4739*x^16 +10363*x^15 -15102*x^14 +70771*x^13 -85873*x^12 -156644*x^11 -85873*x^10 -70771*x^9 -15102*x^8 -10363*x^7 -4739*x^6 -885*x^5 -314*x^4 -257*x^3 -57*x^2 -29*x -28) / (x^24 -313288*x^12 +1). - Colin Barker, Dec 18 2013

Mathematica

Numerator[Convergents[Sqrt[815], 30]] (* Vincenzo Librandi, Nov 28 2013 *)

Crossrefs

Cf. A042573, A040786.

Sequence in context: A042584 A042576 A042574 * A042570 A042568 A162302

Adjacent sequences: A042569 A042570 A042571 * A042573 A042574 A042575

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 18 2013

Status

approved