A042592 Numerators of continued fraction convergents to sqrt(825).

28, 29, 86, 115, 201, 316, 517, 2384, 2901, 5285, 8186, 13471, 35128, 48599, 2756672, 2805271, 8367214, 11172485, 19539699, 30712184, 50251883, 231719716, 281971599, 513691315, 795662914, 1309354229, 3414371372, 4723725601, 267943005028, 272666730629

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, 0, 0, 97198, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^27 -28*x^26 +29*x^25 -86*x^24 +115*x^23 -201*x^22 +316*x^21 -517*x^20 +2384*x^19 -2901*x^18 +5285*x^17 -8186*x^16 +13471*x^15 -35128*x^14 -48599*x^13 -35128*x^12 -13471*x^11 -8186*x^10 -5285*x^9 -2901*x^8 -2384*x^7 -517*x^6 -316*x^5 -201*x^4 -115*x^3 -86*x^2 -29*x -28) / (x^28 -97198*x^14 +1). - Colin Barker, Dec 19 2013

Mathematica

Numerator[Convergents[Sqrt[825], 30]] (* Vincenzo Librandi, Nov 29 2013 *)

Crossrefs

Cf. A042593, A040796.

Sequence in context: A042570 A042568 A162302 * A042594 A042590 A042588

Adjacent sequences: A042589 A042590 A042591 * A042593 A042594 A042595

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 19 2013

Status

approved