A042590 Numerators of continued fraction convergents to sqrt(824).

28, 29, 86, 201, 287, 488, 3215, 3703, 6918, 17539, 41996, 59535, 3375956, 3435491, 10246938, 23929367, 34176305, 58105672, 382810337, 440916009, 823726346, 2088368701, 5000463748, 7088832449, 401975080892, 409063913341, 1220102907574, 2849269728489

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, 119070, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^23 -28*x^22 +29*x^21 -86*x^20 +201*x^19 -287*x^18 +488*x^17 -3215*x^16 +3703*x^15 -6918*x^14 +17539*x^13 -41996*x^12 -59535*x^11 -41996*x^10 -17539*x^9 -6918*x^8 -3703*x^7 -3215*x^6 -488*x^5 -287*x^4 -201*x^3 -86*x^2 -29*x -28) / (x^24 -119070*x^12 +1). - Colin Barker, Dec 19 2013

Mathematica

Numerator[Convergents[Sqrt[824], 30]] (* Vincenzo Librandi, Nov 29 2013 *)

Crossrefs

Cf. A042591, A040795.

Sequence in context: A162302 A042592 A042594 * A042588 A042586 A042600

Adjacent sequences: A042587 A042588 A042589 * A042591 A042592 A042593

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 19 2013

Status

approved