A042714 Numerators of continued fraction convergents to sqrt(887).

29, 30, 119, 149, 268, 685, 20133, 40951, 61084, 102035, 367189, 469224, 27582181, 28051405, 111736396, 139787801, 251524197, 642836195, 18893773852, 38430383899, 57324157751, 95754541650, 344587782701, 440342324351, 25884442595059, 26324784919410

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, 938448, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^23 -29*x^22 +30*x^21 -119*x^20 +149*x^19 -268*x^18 +685*x^17 -20133*x^16 +40951*x^15 -61084*x^14 +102035*x^13 -367189*x^12 -469224*x^11 -367189*x^10 -102035*x^9 -61084*x^8 -40951*x^7 -20133*x^6 -685*x^5 -268*x^4 -149*x^3 -119*x^2 -30*x -29) / (x^24 -938448*x^12 +1). - Colin Barker, Dec 22 2013

Mathematica

Numerator[Convergents[Sqrt[887], 30]] (* Vincenzo Librandi, Dec 02 2013 *)

Crossrefs

Cf. A042715, A040857.

Sequence in context: A042710 A042704 A042702 * A042716 A042712 A042720

Adjacent sequences: A042711 A042712 A042713 * A042715 A042716 A042717

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 22 2013

Status

approved