A042904 Numerators of continued fraction convergents to sqrt(984).

31, 63, 94, 251, 596, 4423, 9442, 23307, 32749, 88805, 5538659, 11166123, 16704782, 44575687, 105856156, 785568779, 1676993714, 4139556207, 5816549921, 15772656049, 983721224959, 1983215105967, 2966936330926, 7917087767819, 18801111866564, 139524870833767

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, 177610, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^19 -31*x^18 +63*x^17 -94*x^16 +251*x^15 -596*x^14 +4423*x^13 -9442*x^12 +23307*x^11 -32749*x^10 -88805*x^9 -32749*x^8 -23307*x^7 -9442*x^6 -4423*x^5 -596*x^4 -251*x^3 -94*x^2 -63*x -31) / (x^20 -177610*x^10 +1). - Colin Barker, Dec 25 2013

Mathematica

Numerator[Convergents[Sqrt[984], 30]]  (* Vincenzo Librandi, Dec 09 2013 *)

Crossrefs

Cf. A042905, A040952.

Sequence in context: A135631 A276787 A042906 * A042902 A042900 A239128

Adjacent sequences: A042901 A042902 A042903 * A042905 A042906 A042907

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 25 2013

Status

approved