A041658 Numerators of continued fraction convergents to sqrt(348).

18, 19, 37, 56, 485, 541, 1026, 1567, 57438, 59005, 116443, 175448, 1520027, 1695475, 3215502, 4910977, 180010674, 184921651, 364932325, 549853976, 4763764133, 5313618109, 10077382242, 15391000351, 564153394878, 579544395229, 1143697790107, 1723242185336

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, 3134, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^15 -18*x^14 +19*x^13 -37*x^12 +56*x^11 -485*x^10 +541*x^9 -1026*x^8 -1567*x^7 -1026*x^6 -541*x^5 -485*x^4 -56*x^3 -37*x^2 -19*x -18) / ((x^8 -56*x^4 +1)*(x^8 +56*x^4 +1)). - Colin Barker, Dec 28 2013

Mathematica

Numerator[Convergents[Sqrt[348], 30]] (* Harvey P. Dale, Apr 30 2012 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 3134, 0, 0, 0, 0, 0, 0, 0, -1}, {18, 19, 37, 56, 485, 541, 1026, 1567, 57438, 59005, 116443, 175448, 1520027, 1695475, 3215502, 4910977}, 30] (* Bruno Berselli, Nov 06 2013 *)

Crossrefs

Cf. A041659, A040329.

Sequence in context: A041654 A041656 A042507 * A041652 A041650 A041648

Adjacent sequences: A041655 A041656 A041657 * A041659 A041660 A041661

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 28 2013

Status

approved